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Finding the Fourth Proportional to 25.78, 38.68 and 10.56

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Solution

The fourth proportional to 25.78, 38.68 and 10.56 is: 15.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.78 : 38.68 = 10.56 : x
  2. Step 2: Convert to fraction form
    25.78/38.68 = 10.56/x
  3. Step 3: Cross multiply
    25.78x = 38.68 × 10.56
  4. Step 4: Simplify right side
    25.78x = 408.46
  5. Step 5: Solve for x
    x = 408.46/25.78
  6. Step 6: Final answer
    x = 15.84

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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.