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Finding the Fourth Proportional to 8,505.92, 12,742.24 and 5,575.28

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Solution

The fourth proportional to 8,505.92, 12,742.24 and 5,575.28 is: 8,352.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.92 : 12,742.24 = 5,575.28 : x
  2. Step 2: Convert to fraction form
    8,505.92/12,742.24 = 5,575.28/x
  3. Step 3: Cross multiply
    8,505.92x = 12,742.24 × 5,575.28
  4. Step 4: Simplify right side
    8,505.92x = 71,041,555.83
  5. Step 5: Solve for x
    x = 71,041,555.83/8,505.92
  6. Step 6: Final answer
    x = 8,352.01

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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.