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Finding the Fourth Proportional to 2,456.67, 3,691.13 and 2,180.19

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Solution

The fourth proportional to 2,456.67, 3,691.13 and 2,180.19 is: 3,275.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.67 : 3,691.13 = 2,180.19 : x
  2. Step 2: Convert to fraction form
    2,456.67/3,691.13 = 2,180.19/x
  3. Step 3: Cross multiply
    2,456.67x = 3,691.13 × 2,180.19
  4. Step 4: Simplify right side
    2,456.67x = 8,047,353.81
  5. Step 5: Solve for x
    x = 8,047,353.81/2,456.67
  6. Step 6: Final answer
    x = 3,275.72

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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.