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Finding the Fourth Proportional to 25,878.28, 38,824.98 and 8,347.72

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Solution

The fourth proportional to 25,878.28, 38,824.98 and 8,347.72 is: 12,524.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,878.28 : 38,824.98 = 8,347.72 : x
  2. Step 2: Convert to fraction form
    25,878.28/38,824.98 = 8,347.72/x
  3. Step 3: Cross multiply
    25,878.28x = 38,824.98 × 8,347.72
  4. Step 4: Simplify right side
    25,878.28x = 324,100,062.05
  5. Step 5: Solve for x
    x = 324,100,062.05/25,878.28
  6. Step 6: Final answer
    x = 12,524.02

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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.