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Finding the Fourth Proportional to 8,121.50, 12,182.61 and 2,649.50

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Solution

The fourth proportional to 8,121.50, 12,182.61 and 2,649.50 is: 3,974.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.50 : 12,182.61 = 2,649.50 : x
  2. Step 2: Convert to fraction form
    8,121.50/12,182.61 = 2,649.50/x
  3. Step 3: Cross multiply
    8,121.50x = 12,182.61 × 2,649.50
  4. Step 4: Simplify right side
    8,121.50x = 32,277,825.20
  5. Step 5: Solve for x
    x = 32,277,825.20/8,121.50
  6. Step 6: Final answer
    x = 3,974.37

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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.