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Finding the Fourth Proportional to 25,422, 35,081.76 and 15,358.80

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Solution

The fourth proportional to 25,422, 35,081.76 and 15,358.80 is: 21,194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,422 : 35,081.76 = 15,358.80 : x
  2. Step 2: Convert to fraction form
    25,422/35,081.76 = 15,358.80/x
  3. Step 3: Cross multiply
    25,422x = 35,081.76 × 15,358.80
  4. Step 4: Simplify right side
    25,422x = 538,813,735.49
  5. Step 5: Solve for x
    x = 538,813,735.49/25,422
  6. Step 6: Final answer
    x = 21,194.78

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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.