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Finding the Fourth Proportional to 5,147.74, 7,731.96 and 3,071.80

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Solution

The fourth proportional to 5,147.74, 7,731.96 and 3,071.80 is: 4,613.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.74 : 7,731.96 = 3,071.80 : x
  2. Step 2: Convert to fraction form
    5,147.74/7,731.96 = 3,071.80/x
  3. Step 3: Cross multiply
    5,147.74x = 7,731.96 × 3,071.80
  4. Step 4: Simplify right side
    5,147.74x = 23,751,034.73
  5. Step 5: Solve for x
    x = 23,751,034.73/5,147.74
  6. Step 6: Final answer
    x = 4,613.88

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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.