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Finding the Fourth Proportional to 2,118.79, 3,177.41 and 731.71

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Solution

The fourth proportional to 2,118.79, 3,177.41 and 731.71 is: 1,097.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.79 : 3,177.41 = 731.71 : x
  2. Step 2: Convert to fraction form
    2,118.79/3,177.41 = 731.71/x
  3. Step 3: Cross multiply
    2,118.79x = 3,177.41 × 731.71
  4. Step 4: Simplify right side
    2,118.79x = 2,324,926.78
  5. Step 5: Solve for x
    x = 2,324,926.78/2,118.79
  6. Step 6: Final answer
    x = 1,097.29

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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.