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Finding the Fourth Proportional to 6,489.32, 9,692.53 and 5,614.52

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Solution

The fourth proportional to 6,489.32, 9,692.53 and 5,614.52 is: 8,385.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.32 : 9,692.53 = 5,614.52 : x
  2. Step 2: Convert to fraction form
    6,489.32/9,692.53 = 5,614.52/x
  3. Step 3: Cross multiply
    6,489.32x = 9,692.53 × 5,614.52
  4. Step 4: Simplify right side
    6,489.32x = 54,418,903.54
  5. Step 5: Solve for x
    x = 54,418,903.54/6,489.32
  6. Step 6: Final answer
    x = 8,385.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.