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Finding the Fourth Proportional to 8,689, 13,034.22 and 2,533

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Solution

The fourth proportional to 8,689, 13,034.22 and 2,533 is: 3,799.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689 : 13,034.22 = 2,533 : x
  2. Step 2: Convert to fraction form
    8,689/13,034.22 = 2,533/x
  3. Step 3: Cross multiply
    8,689x = 13,034.22 × 2,533
  4. Step 4: Simplify right side
    8,689x = 33,015,679.26
  5. Step 5: Solve for x
    x = 33,015,679.26/8,689
  6. Step 6: Final answer
    x = 3,799.71

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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.