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Finding the Fourth Proportional to 16,412.30, 24,618.79 and 5,318.97

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Solution

The fourth proportional to 16,412.30, 24,618.79 and 5,318.97 is: 7,978.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412.30 : 24,618.79 = 5,318.97 : x
  2. Step 2: Convert to fraction form
    16,412.30/24,618.79 = 5,318.97/x
  3. Step 3: Cross multiply
    16,412.30x = 24,618.79 × 5,318.97
  4. Step 4: Simplify right side
    16,412.30x = 130,946,489.86
  5. Step 5: Solve for x
    x = 130,946,489.86/16,412.30
  6. Step 6: Final answer
    x = 7,978.56

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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.