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Finding the Fourth Proportional to 25,738.80, 38,611.80 and 10,947.60

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Solution

The fourth proportional to 25,738.80, 38,611.80 and 10,947.60 is: 16,422.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,738.80 : 38,611.80 = 10,947.60 : x
  2. Step 2: Convert to fraction form
    25,738.80/38,611.80 = 10,947.60/x
  3. Step 3: Cross multiply
    25,738.80x = 38,611.80 × 10,947.60
  4. Step 4: Simplify right side
    25,738.80x = 422,706,541.68
  5. Step 5: Solve for x
    x = 422,706,541.68/25,738.80
  6. Step 6: Final answer
    x = 16,422.93

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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.