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Finding the Fourth Proportional to 8,104.71, 12,157.20 and 2,261.22

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Solution

The fourth proportional to 8,104.71, 12,157.20 and 2,261.22 is: 3,391.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,104.71 : 12,157.20 = 2,261.22 : x
  2. Step 2: Convert to fraction form
    8,104.71/12,157.20 = 2,261.22/x
  3. Step 3: Cross multiply
    8,104.71x = 12,157.20 × 2,261.22
  4. Step 4: Simplify right side
    8,104.71x = 27,490,103.78
  5. Step 5: Solve for x
    x = 27,490,103.78/8,104.71
  6. Step 6: Final answer
    x = 3,391.87

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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.