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Finding the Fourth Proportional to 2,118.65, 3,177.97 and 820.42

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Solution

The fourth proportional to 2,118.65, 3,177.97 and 820.42 is: 1,230.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.65 : 3,177.97 = 820.42 : x
  2. Step 2: Convert to fraction form
    2,118.65/3,177.97 = 820.42/x
  3. Step 3: Cross multiply
    2,118.65x = 3,177.97 × 820.42
  4. Step 4: Simplify right side
    2,118.65x = 2,607,260.15
  5. Step 5: Solve for x
    x = 2,607,260.15/2,118.65
  6. Step 6: Final answer
    x = 1,230.63

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Similar ratio
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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.