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Finding the Fourth Proportional to 10,451.92, 15,670.20 and 5,252.56

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Solution

The fourth proportional to 10,451.92, 15,670.20 and 5,252.56 is: 7,874.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.92 : 15,670.20 = 5,252.56 : x
  2. Step 2: Convert to fraction form
    10,451.92/15,670.20 = 5,252.56/x
  3. Step 3: Cross multiply
    10,451.92x = 15,670.20 × 5,252.56
  4. Step 4: Simplify right side
    10,451.92x = 82,308,665.71
  5. Step 5: Solve for x
    x = 82,308,665.71/10,451.92
  6. Step 6: Final answer
    x = 7,874.98

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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.