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Finding the Fourth Proportional to 15,744.50, 21,727.50 and 8,671.04

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Solution

The fourth proportional to 15,744.50, 21,727.50 and 8,671.04 is: 11,966.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744.50 : 21,727.50 = 8,671.04 : x
  2. Step 2: Convert to fraction form
    15,744.50/21,727.50 = 8,671.04/x
  3. Step 3: Cross multiply
    15,744.50x = 21,727.50 × 8,671.04
  4. Step 4: Simplify right side
    15,744.50x = 188,400,021.60
  5. Step 5: Solve for x
    x = 188,400,021.60/15,744.50
  6. Step 6: Final answer
    x = 11,966.08

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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.