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Finding the Fourth Proportional to 8,195.72, 12,291.72 and 3,264.02

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Solution

The fourth proportional to 8,195.72, 12,291.72 and 3,264.02 is: 4,895.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.72 : 12,291.72 = 3,264.02 : x
  2. Step 2: Convert to fraction form
    8,195.72/12,291.72 = 3,264.02/x
  3. Step 3: Cross multiply
    8,195.72x = 12,291.72 × 3,264.02
  4. Step 4: Simplify right side
    8,195.72x = 40,120,419.91
  5. Step 5: Solve for x
    x = 40,120,419.91/8,195.72
  6. Step 6: Final answer
    x = 4,895.29

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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.