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Finding the Fourth Proportional to 1,861.54, 2,791.24 and 766.66

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Solution

The fourth proportional to 1,861.54, 2,791.24 and 766.66 is: 1,149.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.54 : 2,791.24 = 766.66 : x
  2. Step 2: Convert to fraction form
    1,861.54/2,791.24 = 766.66/x
  3. Step 3: Cross multiply
    1,861.54x = 2,791.24 × 766.66
  4. Step 4: Simplify right side
    1,861.54x = 2,139,932.06
  5. Step 5: Solve for x
    x = 2,139,932.06/1,861.54
  6. Step 6: Final answer
    x = 1,149.55

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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.