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Finding the Fourth Proportional to 5,691.40, 8,531.70 and 5,108.20

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Solution

The fourth proportional to 5,691.40, 8,531.70 and 5,108.20 is: 7,657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.40 : 8,531.70 = 5,108.20 : x
  2. Step 2: Convert to fraction form
    5,691.40/8,531.70 = 5,108.20/x
  3. Step 3: Cross multiply
    5,691.40x = 8,531.70 × 5,108.20
  4. Step 4: Simplify right side
    5,691.40x = 43,581,629.94
  5. Step 5: Solve for x
    x = 43,581,629.94/5,691.40
  6. Step 6: Final answer
    x = 7,657.45

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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.