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Finding the Fourth Proportional to 2,575.60, 3,863.80 and 843.68

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Solution

The fourth proportional to 2,575.60, 3,863.80 and 843.68 is: 1,265.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.60 : 3,863.80 = 843.68 : x
  2. Step 2: Convert to fraction form
    2,575.60/3,863.80 = 843.68/x
  3. Step 3: Cross multiply
    2,575.60x = 3,863.80 × 843.68
  4. Step 4: Simplify right side
    2,575.60x = 3,259,810.78
  5. Step 5: Solve for x
    x = 3,259,810.78/2,575.60
  6. Step 6: Final answer
    x = 1,265.65

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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.