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Finding the Fourth Proportional to 16,213.71, 22,374.92 and 9,140.13

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Solution

The fourth proportional to 16,213.71, 22,374.92 and 9,140.13 is: 12,613.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,213.71 : 22,374.92 = 9,140.13 : x
  2. Step 2: Convert to fraction form
    16,213.71/22,374.92 = 9,140.13/x
  3. Step 3: Cross multiply
    16,213.71x = 22,374.92 × 9,140.13
  4. Step 4: Simplify right side
    16,213.71x = 204,509,750.47
  5. Step 5: Solve for x
    x = 204,509,750.47/16,213.71
  6. Step 6: Final answer
    x = 12,613.38

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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.