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Finding the Fourth Proportional to 5,497.82, 8,231.16 and 4,978.88

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Solution

The fourth proportional to 5,497.82, 8,231.16 and 4,978.88 is: 7,454.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.82 : 8,231.16 = 4,978.88 : x
  2. Step 2: Convert to fraction form
    5,497.82/8,231.16 = 4,978.88/x
  3. Step 3: Cross multiply
    5,497.82x = 8,231.16 × 4,978.88
  4. Step 4: Simplify right side
    5,497.82x = 40,981,957.90
  5. Step 5: Solve for x
    x = 40,981,957.90/5,497.82
  6. Step 6: Final answer
    x = 7,454.22

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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.