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Finding the Fourth Proportional to 4,723.73, 7,082.31 and 3,988.12

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Solution

The fourth proportional to 4,723.73, 7,082.31 and 3,988.12 is: 5,979.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.73 : 7,082.31 = 3,988.12 : x
  2. Step 2: Convert to fraction form
    4,723.73/7,082.31 = 3,988.12/x
  3. Step 3: Cross multiply
    4,723.73x = 7,082.31 × 3,988.12
  4. Step 4: Simplify right side
    4,723.73x = 28,245,101.47
  5. Step 5: Solve for x
    x = 28,245,101.47/4,723.73
  6. Step 6: Final answer
    x = 5,979.41

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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.