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Finding the Fourth Proportional to 1,844.12, 2,766.17 and 748.47

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Solution

The fourth proportional to 1,844.12, 2,766.17 and 748.47 is: 1,122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.12 : 2,766.17 = 748.47 : x
  2. Step 2: Convert to fraction form
    1,844.12/2,766.17 = 748.47/x
  3. Step 3: Cross multiply
    1,844.12x = 2,766.17 × 748.47
  4. Step 4: Simplify right side
    1,844.12x = 2,070,391.52
  5. Step 5: Solve for x
    x = 2,070,391.52/1,844.12
  6. Step 6: Final answer
    x = 1,122.70

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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.