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Finding the Fourth Proportional to 8,271.62, 12,407.90 and 2,649.78

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Solution

The fourth proportional to 8,271.62, 12,407.90 and 2,649.78 is: 3,974.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.62 : 12,407.90 = 2,649.78 : x
  2. Step 2: Convert to fraction form
    8,271.62/12,407.90 = 2,649.78/x
  3. Step 3: Cross multiply
    8,271.62x = 12,407.90 × 2,649.78
  4. Step 4: Simplify right side
    8,271.62x = 32,878,192.01
  5. Step 5: Solve for x
    x = 32,878,192.01/8,271.62
  6. Step 6: Final answer
    x = 3,974.82

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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.