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Finding the Fourth Proportional to 5,538.64, 7,640.64 and 3,863.92

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Solution

The fourth proportional to 5,538.64, 7,640.64 and 3,863.92 is: 5,330.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.64 : 7,640.64 = 3,863.92 : x
  2. Step 2: Convert to fraction form
    5,538.64/7,640.64 = 3,863.92/x
  3. Step 3: Cross multiply
    5,538.64x = 7,640.64 × 3,863.92
  4. Step 4: Simplify right side
    5,538.64x = 29,522,821.71
  5. Step 5: Solve for x
    x = 29,522,821.71/5,538.64
  6. Step 6: Final answer
    x = 5,330.34

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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.