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Finding the Fourth Proportional to 2,661.13, 3,991.24 and 712.88

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Solution

The fourth proportional to 2,661.13, 3,991.24 and 712.88 is: 1,069.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.13 : 3,991.24 = 712.88 : x
  2. Step 2: Convert to fraction form
    2,661.13/3,991.24 = 712.88/x
  3. Step 3: Cross multiply
    2,661.13x = 3,991.24 × 712.88
  4. Step 4: Simplify right side
    2,661.13x = 2,845,251.65
  5. Step 5: Solve for x
    x = 2,845,251.65/2,661.13
  6. Step 6: Final answer
    x = 1,069.19

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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.