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Finding the Fourth Proportional to 26.21, 39.05 and 24.74

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Solution

The fourth proportional to 26.21, 39.05 and 24.74 is: 36.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.21 : 39.05 = 24.74 : x
  2. Step 2: Convert to fraction form
    26.21/39.05 = 24.74/x
  3. Step 3: Cross multiply
    26.21x = 39.05 × 24.74
  4. Step 4: Simplify right side
    26.21x = 966.02
  5. Step 5: Solve for x
    x = 966.02/26.21
  6. Step 6: Final answer
    x = 36.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.