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Finding the Fourth Proportional to 6,652.48, 9,978.36 and 5,414.08

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Solution

The fourth proportional to 6,652.48, 9,978.36 and 5,414.08 is: 8,120.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.48 : 9,978.36 = 5,414.08 : x
  2. Step 2: Convert to fraction form
    6,652.48/9,978.36 = 5,414.08/x
  3. Step 3: Cross multiply
    6,652.48x = 9,978.36 × 5,414.08
  4. Step 4: Simplify right side
    6,652.48x = 54,023,639.31
  5. Step 5: Solve for x
    x = 54,023,639.31/6,652.48
  6. Step 6: Final answer
    x = 8,120.83

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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.