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Finding the Fourth Proportional to 25,713.82, 38,575.05 and 8,189.02

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Solution

The fourth proportional to 25,713.82, 38,575.05 and 8,189.02 is: 12,284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,713.82 : 38,575.05 = 8,189.02 : x
  2. Step 2: Convert to fraction form
    25,713.82/38,575.05 = 8,189.02/x
  3. Step 3: Cross multiply
    25,713.82x = 38,575.05 × 8,189.02
  4. Step 4: Simplify right side
    25,713.82x = 315,891,855.95
  5. Step 5: Solve for x
    x = 315,891,855.95/25,713.82
  6. Step 6: Final answer
    x = 12,284.91

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1.5x scale

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.