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Finding the Fourth Proportional to 1,511.96, 2,265.84 and 861.32

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Solution

The fourth proportional to 1,511.96, 2,265.84 and 861.32 is: 1,290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.96 : 2,265.84 = 861.32 : x
  2. Step 2: Convert to fraction form
    1,511.96/2,265.84 = 861.32/x
  3. Step 3: Cross multiply
    1,511.96x = 2,265.84 × 861.32
  4. Step 4: Simplify right side
    1,511.96x = 1,951,613.31
  5. Step 5: Solve for x
    x = 1,951,613.31/1,511.96
  6. Step 6: Final answer
    x = 1,290.78

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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.