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Finding the Fourth Proportional to 18,805.50, 25,952.40 and 10,422

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Solution

The fourth proportional to 18,805.50, 25,952.40 and 10,422 is: 14,382.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,805.50 : 25,952.40 = 10,422 : x
  2. Step 2: Convert to fraction form
    18,805.50/25,952.40 = 10,422/x
  3. Step 3: Cross multiply
    18,805.50x = 25,952.40 × 10,422
  4. Step 4: Simplify right side
    18,805.50x = 270,475,912.80
  5. Step 5: Solve for x
    x = 270,475,912.80/18,805.50
  6. Step 6: Final answer
    x = 14,382.81

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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.