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Finding the Fourth Proportional to 1,861.84, 2,793.11 and 765.61

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Solution

The fourth proportional to 1,861.84, 2,793.11 and 765.61 is: 1,148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.84 : 2,793.11 = 765.61 : x
  2. Step 2: Convert to fraction form
    1,861.84/2,793.11 = 765.61/x
  3. Step 3: Cross multiply
    1,861.84x = 2,793.11 × 765.61
  4. Step 4: Simplify right side
    1,861.84x = 2,138,432.15
  5. Step 5: Solve for x
    x = 2,138,432.15/1,861.84
  6. Step 6: Final answer
    x = 1,148.56

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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.