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Finding the Fourth Proportional to 8,117.26, 12,171.26 and 2,572

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Solution

The fourth proportional to 8,117.26, 12,171.26 and 2,572 is: 3,856.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.26 : 12,171.26 = 2,572 : x
  2. Step 2: Convert to fraction form
    8,117.26/12,171.26 = 2,572/x
  3. Step 3: Cross multiply
    8,117.26x = 12,171.26 × 2,572
  4. Step 4: Simplify right side
    8,117.26x = 31,304,480.72
  5. Step 5: Solve for x
    x = 31,304,480.72/8,117.26
  6. Step 6: Final answer
    x = 3,856.53

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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.