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Finding the Fourth Proportional to 5,660.64, 8,489.28 and 1,961.88

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Solution

The fourth proportional to 5,660.64, 8,489.28 and 1,961.88 is: 2,942.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.64 : 8,489.28 = 1,961.88 : x
  2. Step 2: Convert to fraction form
    5,660.64/8,489.28 = 1,961.88/x
  3. Step 3: Cross multiply
    5,660.64x = 8,489.28 × 1,961.88
  4. Step 4: Simplify right side
    5,660.64x = 16,654,948.65
  5. Step 5: Solve for x
    x = 16,654,948.65/5,660.64
  6. Step 6: Final answer
    x = 2,942.24

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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.