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Finding the Fourth Proportional to 2,661.24, 3,992.04 and 713.18

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Solution

The fourth proportional to 2,661.24, 3,992.04 and 713.18 is: 1,069.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.24 : 3,992.04 = 713.18 : x
  2. Step 2: Convert to fraction form
    2,661.24/3,992.04 = 713.18/x
  3. Step 3: Cross multiply
    2,661.24x = 3,992.04 × 713.18
  4. Step 4: Simplify right side
    2,661.24x = 2,847,043.09
  5. Step 5: Solve for x
    x = 2,847,043.09/2,661.24
  6. Step 6: Final answer
    x = 1,069.82

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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.