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Finding the Fourth Proportional to 5,282.89, 7,930.10 and 3,891.92

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Solution

The fourth proportional to 5,282.89, 7,930.10 and 3,891.92 is: 5,842.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282.89 : 7,930.10 = 3,891.92 : x
  2. Step 2: Convert to fraction form
    5,282.89/7,930.10 = 3,891.92/x
  3. Step 3: Cross multiply
    5,282.89x = 7,930.10 × 3,891.92
  4. Step 4: Simplify right side
    5,282.89x = 30,863,284.87
  5. Step 5: Solve for x
    x = 30,863,284.87/5,282.89
  6. Step 6: Final answer
    x = 5,842.12

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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.