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Finding the Fourth Proportional to 1,845.71, 2,766.17 and 749.47

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Solution

The fourth proportional to 1,845.71, 2,766.17 and 749.47 is: 1,123.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.71 : 2,766.17 = 749.47 : x
  2. Step 2: Convert to fraction form
    1,845.71/2,766.17 = 749.47/x
  3. Step 3: Cross multiply
    1,845.71x = 2,766.17 × 749.47
  4. Step 4: Simplify right side
    1,845.71x = 2,073,157.68
  5. Step 5: Solve for x
    x = 2,073,157.68/1,845.71
  6. Step 6: Final answer
    x = 1,123.23

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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.