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Finding the Fourth Proportional to 25,811.21, 38,713.16 and 8,278.76

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Solution

The fourth proportional to 25,811.21, 38,713.16 and 8,278.76 is: 12,416.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,811.21 : 38,713.16 = 8,278.76 : x
  2. Step 2: Convert to fraction form
    25,811.21/38,713.16 = 8,278.76/x
  3. Step 3: Cross multiply
    25,811.21x = 38,713.16 × 8,278.76
  4. Step 4: Simplify right side
    25,811.21x = 320,496,725.52
  5. Step 5: Solve for x
    x = 320,496,725.52/25,811.21
  6. Step 6: Final answer
    x = 12,416.96

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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.