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Finding the Fourth Proportional to 2,614.64, 3,915.04 and 2,092.20

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Solution

The fourth proportional to 2,614.64, 3,915.04 and 2,092.20 is: 3,132.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.64 : 3,915.04 = 2,092.20 : x
  2. Step 2: Convert to fraction form
    2,614.64/3,915.04 = 2,092.20/x
  3. Step 3: Cross multiply
    2,614.64x = 3,915.04 × 2,092.20
  4. Step 4: Simplify right side
    2,614.64x = 8,191,046.69
  5. Step 5: Solve for x
    x = 8,191,046.69/2,614.64
  6. Step 6: Final answer
    x = 3,132.76

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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.