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Finding the Fourth Proportional to 15,757.62, 21,744.99 and 8,684.16

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Solution

The fourth proportional to 15,757.62, 21,744.99 and 8,684.16 is: 11,983.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,757.62 : 21,744.99 = 8,684.16 : x
  2. Step 2: Convert to fraction form
    15,757.62/21,744.99 = 8,684.16/x
  3. Step 3: Cross multiply
    15,757.62x = 21,744.99 × 8,684.16
  4. Step 4: Simplify right side
    15,757.62x = 188,836,972.36
  5. Step 5: Solve for x
    x = 188,836,972.36/15,757.62
  6. Step 6: Final answer
    x = 11,983.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.