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Finding the Fourth Proportional to 2,117.85, 3,177.30 and 657.03

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Solution

The fourth proportional to 2,117.85, 3,177.30 and 657.03 is: 985.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.85 : 3,177.30 = 657.03 : x
  2. Step 2: Convert to fraction form
    2,117.85/3,177.30 = 657.03/x
  3. Step 3: Cross multiply
    2,117.85x = 3,177.30 × 657.03
  4. Step 4: Simplify right side
    2,117.85x = 2,087,581.42
  5. Step 5: Solve for x
    x = 2,087,581.42/2,117.85
  6. Step 6: Final answer
    x = 985.71

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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.