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Finding the Fourth Proportional to 25,769.32, 38,658.78 and 8,243.56

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Solution

The fourth proportional to 25,769.32, 38,658.78 and 8,243.56 is: 12,366.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,769.32 : 38,658.78 = 8,243.56 : x
  2. Step 2: Convert to fraction form
    25,769.32/38,658.78 = 8,243.56/x
  3. Step 3: Cross multiply
    25,769.32x = 38,658.78 × 8,243.56
  4. Step 4: Simplify right side
    25,769.32x = 318,685,972.46
  5. Step 5: Solve for x
    x = 318,685,972.46/25,769.32
  6. Step 6: Final answer
    x = 12,366.88

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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.