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Finding the Fourth Proportional to 16,287.12, 24,414.24 and 6,420.96

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Solution

The fourth proportional to 16,287.12, 24,414.24 and 6,420.96 is: 9,624.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,287.12 : 24,414.24 = 6,420.96 : x
  2. Step 2: Convert to fraction form
    16,287.12/24,414.24 = 6,420.96/x
  3. Step 3: Cross multiply
    16,287.12x = 24,414.24 × 6,420.96
  4. Step 4: Simplify right side
    16,287.12x = 156,762,858.47
  5. Step 5: Solve for x
    x = 156,762,858.47/16,287.12
  6. Step 6: Final answer
    x = 9,624.96

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1.5x scale

Why These Related Problems?

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