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Finding the Fourth Proportional to 3,865.72, 5,793.33 and 1,781.14

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Solution

The fourth proportional to 3,865.72, 5,793.33 and 1,781.14 is: 2,669.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.72 : 5,793.33 = 1,781.14 : x
  2. Step 2: Convert to fraction form
    3,865.72/5,793.33 = 1,781.14/x
  3. Step 3: Cross multiply
    3,865.72x = 5,793.33 × 1,781.14
  4. Step 4: Simplify right side
    3,865.72x = 10,318,702.83
  5. Step 5: Solve for x
    x = 10,318,702.83/3,865.72
  6. Step 6: Final answer
    x = 2,669.29

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1.5x scale

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.