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Finding the Fourth Proportional to 2,486.79, 3,729.56 and 731.79

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Solution

The fourth proportional to 2,486.79, 3,729.56 and 731.79 is: 1,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.79 : 3,729.56 = 731.79 : x
  2. Step 2: Convert to fraction form
    2,486.79/3,729.56 = 731.79/x
  3. Step 3: Cross multiply
    2,486.79x = 3,729.56 × 731.79
  4. Step 4: Simplify right side
    2,486.79x = 2,729,251.05
  5. Step 5: Solve for x
    x = 2,729,251.05/2,486.79
  6. Step 6: Final answer
    x = 1,097.50

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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.