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Finding the Fourth Proportional to 5,691.75, 7,847.12 and 4,977.13

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Solution

The fourth proportional to 5,691.75, 7,847.12 and 4,977.13 is: 6,861.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.75 : 7,847.12 = 4,977.13 : x
  2. Step 2: Convert to fraction form
    5,691.75/7,847.12 = 4,977.13/x
  3. Step 3: Cross multiply
    5,691.75x = 7,847.12 × 4,977.13
  4. Step 4: Simplify right side
    5,691.75x = 39,056,129.19
  5. Step 5: Solve for x
    x = 39,056,129.19/5,691.75
  6. Step 6: Final answer
    x = 6,861.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.