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Finding the Fourth Proportional to 2,287.13, 3,431.24 and 748.13

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Solution

The fourth proportional to 2,287.13, 3,431.24 and 748.13 is: 1,122.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.13 : 3,431.24 = 748.13 : x
  2. Step 2: Convert to fraction form
    2,287.13/3,431.24 = 748.13/x
  3. Step 3: Cross multiply
    2,287.13x = 3,431.24 × 748.13
  4. Step 4: Simplify right side
    2,287.13x = 2,566,992.68
  5. Step 5: Solve for x
    x = 2,566,992.68/2,287.13
  6. Step 6: Final answer
    x = 1,122.37

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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.