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Finding the Fourth Proportional to 5,481.64, 7,564.64 and 3,124.52

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Solution

The fourth proportional to 5,481.64, 7,564.64 and 3,124.52 is: 4,311.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,481.64 : 7,564.64 = 3,124.52 : x
  2. Step 2: Convert to fraction form
    5,481.64/7,564.64 = 3,124.52/x
  3. Step 3: Cross multiply
    5,481.64x = 7,564.64 × 3,124.52
  4. Step 4: Simplify right side
    5,481.64x = 23,635,868.97
  5. Step 5: Solve for x
    x = 23,635,868.97/5,481.64
  6. Step 6: Final answer
    x = 4,311.82

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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.