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Finding the Fourth Proportional to 7,166.67, 10,748.17 and 2,781.73

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Solution

The fourth proportional to 7,166.67, 10,748.17 and 2,781.73 is: 4,171.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.67 : 10,748.17 = 2,781.73 : x
  2. Step 2: Convert to fraction form
    7,166.67/10,748.17 = 2,781.73/x
  3. Step 3: Cross multiply
    7,166.67x = 10,748.17 × 2,781.73
  4. Step 4: Simplify right side
    7,166.67x = 29,898,506.93
  5. Step 5: Solve for x
    x = 29,898,506.93/7,166.67
  6. Step 6: Final answer
    x = 4,171.88

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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.