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Finding the Fourth Proportional to 8,689, 13,033.36 and 2,115.19

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Solution

The fourth proportional to 8,689, 13,033.36 and 2,115.19 is: 3,172.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689 : 13,033.36 = 2,115.19 : x
  2. Step 2: Convert to fraction form
    8,689/13,033.36 = 2,115.19/x
  3. Step 3: Cross multiply
    8,689x = 13,033.36 × 2,115.19
  4. Step 4: Simplify right side
    8,689x = 27,568,032.74
  5. Step 5: Solve for x
    x = 27,568,032.74/8,689
  6. Step 6: Final answer
    x = 3,172.75

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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.