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Finding the Fourth Proportional to 12,909.63, 17,814.24 and 7,243.62

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Solution

The fourth proportional to 12,909.63, 17,814.24 and 7,243.62 is: 9,995.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,909.63 : 17,814.24 = 7,243.62 : x
  2. Step 2: Convert to fraction form
    12,909.63/17,814.24 = 7,243.62/x
  3. Step 3: Cross multiply
    12,909.63x = 17,814.24 × 7,243.62
  4. Step 4: Simplify right side
    12,909.63x = 129,039,585.15
  5. Step 5: Solve for x
    x = 129,039,585.15/12,909.63
  6. Step 6: Final answer
    x = 9,995.61

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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.