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Finding the Fourth Proportional to 5,549.66, 7,658.88 and 3,191.75

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Solution

The fourth proportional to 5,549.66, 7,658.88 and 3,191.75 is: 4,404.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,549.66 : 7,658.88 = 3,191.75 : x
  2. Step 2: Convert to fraction form
    5,549.66/7,658.88 = 3,191.75/x
  3. Step 3: Cross multiply
    5,549.66x = 7,658.88 × 3,191.75
  4. Step 4: Simplify right side
    5,549.66x = 24,445,230.24
  5. Step 5: Solve for x
    x = 24,445,230.24/5,549.66
  6. Step 6: Final answer
    x = 4,404.82

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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.