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Finding the Fourth Proportional to 10,472.28, 14,436.54 and 7,318.68

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Solution

The fourth proportional to 10,472.28, 14,436.54 and 7,318.68 is: 10,089.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.28 : 14,436.54 = 7,318.68 : x
  2. Step 2: Convert to fraction form
    10,472.28/14,436.54 = 7,318.68/x
  3. Step 3: Cross multiply
    10,472.28x = 14,436.54 × 7,318.68
  4. Step 4: Simplify right side
    10,472.28x = 105,656,416.57
  5. Step 5: Solve for x
    x = 105,656,416.57/10,472.28
  6. Step 6: Final answer
    x = 10,089.15

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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.