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Finding the Fourth Proportional to 3,691.50, 5,539.07 and 3,206.71

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Solution

The fourth proportional to 3,691.50, 5,539.07 and 3,206.71 is: 4,811.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.50 : 5,539.07 = 3,206.71 : x
  2. Step 2: Convert to fraction form
    3,691.50/5,539.07 = 3,206.71/x
  3. Step 3: Cross multiply
    3,691.50x = 5,539.07 × 3,206.71
  4. Step 4: Simplify right side
    3,691.50x = 17,762,191.16
  5. Step 5: Solve for x
    x = 17,762,191.16/3,691.50
  6. Step 6: Final answer
    x = 4,811.65

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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.