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Finding the Fourth Proportional to 5,489.76, 7,575.87 and 2,971.87

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Solution

The fourth proportional to 5,489.76, 7,575.87 and 2,971.87 is: 4,101.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.76 : 7,575.87 = 2,971.87 : x
  2. Step 2: Convert to fraction form
    5,489.76/7,575.87 = 2,971.87/x
  3. Step 3: Cross multiply
    5,489.76x = 7,575.87 × 2,971.87
  4. Step 4: Simplify right side
    5,489.76x = 22,514,500.78
  5. Step 5: Solve for x
    x = 22,514,500.78/5,489.76
  6. Step 6: Final answer
    x = 4,101.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.