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Finding the Fourth Proportional to 8,689.97, 13,034.81 and 2,116.14

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Solution

The fourth proportional to 8,689.97, 13,034.81 and 2,116.14 is: 3,174.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689.97 : 13,034.81 = 2,116.14 : x
  2. Step 2: Convert to fraction form
    8,689.97/13,034.81 = 2,116.14/x
  3. Step 3: Cross multiply
    8,689.97x = 13,034.81 × 2,116.14
  4. Step 4: Simplify right side
    8,689.97x = 27,583,472.25
  5. Step 5: Solve for x
    x = 27,583,472.25/8,689.97
  6. Step 6: Final answer
    x = 3,174.18

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1.5x scale

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.