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Finding the Fourth Proportional to 2,117.97, 3,177.18 and 656.91

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Solution

The fourth proportional to 2,117.97, 3,177.18 and 656.91 is: 985.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.97 : 3,177.18 = 656.91 : x
  2. Step 2: Convert to fraction form
    2,117.97/3,177.18 = 656.91/x
  3. Step 3: Cross multiply
    2,117.97x = 3,177.18 × 656.91
  4. Step 4: Simplify right side
    2,117.97x = 2,087,121.31
  5. Step 5: Solve for x
    x = 2,087,121.31/2,117.97
  6. Step 6: Final answer
    x = 985.43

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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.