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Finding the Fourth Proportional to 25,422, 38,133 and 6,954

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Solution

The fourth proportional to 25,422, 38,133 and 6,954 is: 10,431

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,422 : 38,133 = 6,954 : x
  2. Step 2: Convert to fraction form
    25,422/38,133 = 6,954/x
  3. Step 3: Cross multiply
    25,422x = 38,133 × 6,954
  4. Step 4: Simplify right side
    25,422x = 265,176,882
  5. Step 5: Solve for x
    x = 265,176,882/25,422
  6. Step 6: Final answer
    x = 10,431

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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.