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Finding the Fourth Proportional to 10,478.16, 15,717.24 and 3,082.68

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Solution

The fourth proportional to 10,478.16, 15,717.24 and 3,082.68 is: 4,624.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.16 : 15,717.24 = 3,082.68 : x
  2. Step 2: Convert to fraction form
    10,478.16/15,717.24 = 3,082.68/x
  3. Step 3: Cross multiply
    10,478.16x = 15,717.24 × 3,082.68
  4. Step 4: Simplify right side
    10,478.16x = 48,451,265.61
  5. Step 5: Solve for x
    x = 48,451,265.61/10,478.16
  6. Step 6: Final answer
    x = 4,624.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.