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Finding the Fourth Proportional to 25,872.80, 38,825.20 and 10,288.80

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Solution

The fourth proportional to 25,872.80, 38,825.20 and 10,288.80 is: 15,439.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,872.80 : 38,825.20 = 10,288.80 : x
  2. Step 2: Convert to fraction form
    25,872.80/38,825.20 = 10,288.80/x
  3. Step 3: Cross multiply
    25,872.80x = 38,825.20 × 10,288.80
  4. Step 4: Simplify right side
    25,872.80x = 399,464,717.76
  5. Step 5: Solve for x
    x = 399,464,717.76/25,872.80
  6. Step 6: Final answer
    x = 15,439.56

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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.