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Finding the Fourth Proportional to 5,761.26, 8,641.95 and 1,865.70

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Solution

The fourth proportional to 5,761.26, 8,641.95 and 1,865.70 is: 2,798.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.26 : 8,641.95 = 1,865.70 : x
  2. Step 2: Convert to fraction form
    5,761.26/8,641.95 = 1,865.70/x
  3. Step 3: Cross multiply
    5,761.26x = 8,641.95 × 1,865.70
  4. Step 4: Simplify right side
    5,761.26x = 16,123,286.12
  5. Step 5: Solve for x
    x = 16,123,286.12/5,761.26
  6. Step 6: Final answer
    x = 2,798.57

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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.