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Finding the Fourth Proportional to 27,662.87, 38,169.36 and 15,724.17

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Solution

The fourth proportional to 27,662.87, 38,169.36 and 15,724.17 is: 21,696.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,662.87 : 38,169.36 = 15,724.17 : x
  2. Step 2: Convert to fraction form
    27,662.87/38,169.36 = 15,724.17/x
  3. Step 3: Cross multiply
    27,662.87x = 38,169.36 × 15,724.17
  4. Step 4: Simplify right side
    27,662.87x = 600,181,505.43
  5. Step 5: Solve for x
    x = 600,181,505.43/27,662.87
  6. Step 6: Final answer
    x = 21,696.29

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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.