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Finding the Fourth Proportional to 14,711.29, 20,306.23 and 9,406.13

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Solution

The fourth proportional to 14,711.29, 20,306.23 and 9,406.13 is: 12,983.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,711.29 : 20,306.23 = 9,406.13 : x
  2. Step 2: Convert to fraction form
    14,711.29/20,306.23 = 9,406.13/x
  3. Step 3: Cross multiply
    14,711.29x = 20,306.23 × 9,406.13
  4. Step 4: Simplify right side
    14,711.29x = 191,003,039.19
  5. Step 5: Solve for x
    x = 191,003,039.19/14,711.29
  6. Step 6: Final answer
    x = 12,983.43

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