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Finding the Fourth Proportional to 12,770.43, 17,513.22 and 12,238.23

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Solution

The fourth proportional to 12,770.43, 17,513.22 and 12,238.23 is: 16,783.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.43 : 17,513.22 = 12,238.23 : x
  2. Step 2: Convert to fraction form
    12,770.43/17,513.22 = 12,238.23/x
  3. Step 3: Cross multiply
    12,770.43x = 17,513.22 × 12,238.23
  4. Step 4: Simplify right side
    12,770.43x = 214,330,814.40
  5. Step 5: Solve for x
    x = 214,330,814.40/12,770.43
  6. Step 6: Final answer
    x = 16,783.37

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Half scale
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Double scale
Find fourth proportional to 12,771.43, 17,514.59 and 12,239.23
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.