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Finding the Fourth Proportional to 2,561.08, 3,841.20 and 917.32

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Solution

The fourth proportional to 2,561.08, 3,841.20 and 917.32 is: 1,375.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.08 : 3,841.20 = 917.32 : x
  2. Step 2: Convert to fraction form
    2,561.08/3,841.20 = 917.32/x
  3. Step 3: Cross multiply
    2,561.08x = 3,841.20 × 917.32
  4. Step 4: Simplify right side
    2,561.08x = 3,523,609.58
  5. Step 5: Solve for x
    x = 3,523,609.58/2,561.08
  6. Step 6: Final answer
    x = 1,375.83

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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.