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Finding the Fourth Proportional to 25.79, 38.75 and 21.38

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Solution

The fourth proportional to 25.79, 38.75 and 21.38 is: 32.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.79 : 38.75 = 21.38 : x
  2. Step 2: Convert to fraction form
    25.79/38.75 = 21.38/x
  3. Step 3: Cross multiply
    25.79x = 38.75 × 21.38
  4. Step 4: Simplify right side
    25.79x = 828.17
  5. Step 5: Solve for x
    x = 828.17/25.79
  6. Step 6: Final answer
    x = 32.12

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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.