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Finding the Fourth Proportional to 12,693.44, 17,514.51 and 8,216.57

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Solution

The fourth proportional to 12,693.44, 17,514.51 and 8,216.57 is: 11,337.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,693.44 : 17,514.51 = 8,216.57 : x
  2. Step 2: Convert to fraction form
    12,693.44/17,514.51 = 8,216.57/x
  3. Step 3: Cross multiply
    12,693.44x = 17,514.51 × 8,216.57
  4. Step 4: Simplify right side
    12,693.44x = 143,909,197.43
  5. Step 5: Solve for x
    x = 143,909,197.43/12,693.44
  6. Step 6: Final answer
    x = 11,337.29

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.