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Finding the Fourth Proportional to 1,986.80, 2,979.24 and 736.53

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Solution

The fourth proportional to 1,986.80, 2,979.24 and 736.53 is: 1,104.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.80 : 2,979.24 = 736.53 : x
  2. Step 2: Convert to fraction form
    1,986.80/2,979.24 = 736.53/x
  3. Step 3: Cross multiply
    1,986.80x = 2,979.24 × 736.53
  4. Step 4: Simplify right side
    1,986.80x = 2,194,306.12
  5. Step 5: Solve for x
    x = 2,194,306.12/1,986.80
  6. Step 6: Final answer
    x = 1,104.44

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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.