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Finding the Fourth Proportional to 5,117.52, 7,678.17 and 3,489.42

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Solution

The fourth proportional to 5,117.52, 7,678.17 and 3,489.42 is: 5,235.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.52 : 7,678.17 = 3,489.42 : x
  2. Step 2: Convert to fraction form
    5,117.52/7,678.17 = 3,489.42/x
  3. Step 3: Cross multiply
    5,117.52x = 7,678.17 × 3,489.42
  4. Step 4: Simplify right side
    5,117.52x = 26,792,359.96
  5. Step 5: Solve for x
    x = 26,792,359.96/5,117.52
  6. Step 6: Final answer
    x = 5,235.42

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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.