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Finding the Fourth Proportional to 6,489.57, 9,747.57 and 5,726.85

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Solution

The fourth proportional to 6,489.57, 9,747.57 and 5,726.85 is: 8,601.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.57 : 9,747.57 = 5,726.85 : x
  2. Step 2: Convert to fraction form
    6,489.57/9,747.57 = 5,726.85/x
  3. Step 3: Cross multiply
    6,489.57x = 9,747.57 × 5,726.85
  4. Step 4: Simplify right side
    6,489.57x = 55,822,871.25
  5. Step 5: Solve for x
    x = 55,822,871.25/6,489.57
  6. Step 6: Final answer
    x = 8,601.94

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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.