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Finding the Fourth Proportional to 2,117.98, 3,177.31 and 656.79

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Solution

The fourth proportional to 2,117.98, 3,177.31 and 656.79 is: 985.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.98 : 3,177.31 = 656.79 : x
  2. Step 2: Convert to fraction form
    2,117.98/3,177.31 = 656.79/x
  3. Step 3: Cross multiply
    2,117.98x = 3,177.31 × 656.79
  4. Step 4: Simplify right side
    2,117.98x = 2,086,830.98
  5. Step 5: Solve for x
    x = 2,086,830.98/2,117.98
  6. Step 6: Final answer
    x = 985.29

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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.