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Finding the Fourth Proportional to 6,449.52, 9,678.24 and 5,125.44

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Solution

The fourth proportional to 6,449.52, 9,678.24 and 5,125.44 is: 7,691.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.52 : 9,678.24 = 5,125.44 : x
  2. Step 2: Convert to fraction form
    6,449.52/9,678.24 = 5,125.44/x
  3. Step 3: Cross multiply
    6,449.52x = 9,678.24 × 5,125.44
  4. Step 4: Simplify right side
    6,449.52x = 49,605,238.43
  5. Step 5: Solve for x
    x = 49,605,238.43/6,449.52
  6. Step 6: Final answer
    x = 7,691.31

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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.