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Finding the Fourth Proportional to 8,101.62, 12,151.22 and 3,174.59

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Solution

The fourth proportional to 8,101.62, 12,151.22 and 3,174.59 is: 4,761.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.62 : 12,151.22 = 3,174.59 : x
  2. Step 2: Convert to fraction form
    8,101.62/12,151.22 = 3,174.59/x
  3. Step 3: Cross multiply
    8,101.62x = 12,151.22 × 3,174.59
  4. Step 4: Simplify right side
    8,101.62x = 38,575,156.00
  5. Step 5: Solve for x
    x = 38,575,156.00/8,101.62
  6. Step 6: Final answer
    x = 4,761.41

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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.