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Finding the Fourth Proportional to 16,129.11, 22,265.22 and 9,412.18

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Solution

The fourth proportional to 16,129.11, 22,265.22 and 9,412.18 is: 12,992.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,129.11 : 22,265.22 = 9,412.18 : x
  2. Step 2: Convert to fraction form
    16,129.11/22,265.22 = 9,412.18/x
  3. Step 3: Cross multiply
    16,129.11x = 22,265.22 × 9,412.18
  4. Step 4: Simplify right side
    16,129.11x = 209,564,258.38
  5. Step 5: Solve for x
    x = 209,564,258.38/16,129.11
  6. Step 6: Final answer
    x = 12,992.92

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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.