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Finding the Fourth Proportional to 1,861.44, 2,792.34 and 765.72

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Solution

The fourth proportional to 1,861.44, 2,792.34 and 765.72 is: 1,148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.44 : 2,792.34 = 765.72 : x
  2. Step 2: Convert to fraction form
    1,861.44/2,792.34 = 765.72/x
  3. Step 3: Cross multiply
    1,861.44x = 2,792.34 × 765.72
  4. Step 4: Simplify right side
    1,861.44x = 2,138,150.58
  5. Step 5: Solve for x
    x = 2,138,150.58/1,861.44
  6. Step 6: Final answer
    x = 1,148.65

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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.