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Finding the Fourth Proportional to 25.68, 35.34 and 24.78

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Solution

The fourth proportional to 25.68, 35.34 and 24.78 is: 34.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.68 : 35.34 = 24.78 : x
  2. Step 2: Convert to fraction form
    25.68/35.34 = 24.78/x
  3. Step 3: Cross multiply
    25.68x = 35.34 × 24.78
  4. Step 4: Simplify right side
    25.68x = 875.73
  5. Step 5: Solve for x
    x = 875.73/25.68
  6. Step 6: Final answer
    x = 34.10

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Find fourth proportional to 12.84, 17.67 and 12.39
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.