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Finding the Fourth Proportional to 5,221.73, 7,822.17 and 3,140.62

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Solution

The fourth proportional to 5,221.73, 7,822.17 and 3,140.62 is: 4,704.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.73 : 7,822.17 = 3,140.62 : x
  2. Step 2: Convert to fraction form
    5,221.73/7,822.17 = 3,140.62/x
  3. Step 3: Cross multiply
    5,221.73x = 7,822.17 × 3,140.62
  4. Step 4: Simplify right side
    5,221.73x = 24,566,463.55
  5. Step 5: Solve for x
    x = 24,566,463.55/5,221.73
  6. Step 6: Final answer
    x = 4,704.66

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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.