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Finding the Fourth Proportional to 24.71, 36.90 and 18.68

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Solution

The fourth proportional to 24.71, 36.90 and 18.68 is: 27.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.71 : 36.90 = 18.68 : x
  2. Step 2: Convert to fraction form
    24.71/36.90 = 18.68/x
  3. Step 3: Cross multiply
    24.71x = 36.90 × 18.68
  4. Step 4: Simplify right side
    24.71x = 689.11
  5. Step 5: Solve for x
    x = 689.11/24.71
  6. Step 6: Final answer
    x = 27.89

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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.