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Finding the Fourth Proportional to 8,461.71, 12,689.07 and 3,195.82

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Solution

The fourth proportional to 8,461.71, 12,689.07 and 3,195.82 is: 4,792.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.71 : 12,689.07 = 3,195.82 : x
  2. Step 2: Convert to fraction form
    8,461.71/12,689.07 = 3,195.82/x
  3. Step 3: Cross multiply
    8,461.71x = 12,689.07 × 3,195.82
  4. Step 4: Simplify right side
    8,461.71x = 40,551,987.56
  5. Step 5: Solve for x
    x = 40,551,987.56/8,461.71
  6. Step 6: Final answer
    x = 4,792.41

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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.