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Finding the Fourth Proportional to 2,560.80, 3,534.24 and 1,565.88

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Solution

The fourth proportional to 2,560.80, 3,534.24 and 1,565.88 is: 2,161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.80 : 3,534.24 = 1,565.88 : x
  2. Step 2: Convert to fraction form
    2,560.80/3,534.24 = 1,565.88/x
  3. Step 3: Cross multiply
    2,560.80x = 3,534.24 × 1,565.88
  4. Step 4: Simplify right side
    2,560.80x = 5,534,195.73
  5. Step 5: Solve for x
    x = 5,534,195.73/2,560.80
  6. Step 6: Final answer
    x = 2,161.12

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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.