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Finding the Fourth Proportional to 24.31, 36.47 and 13.49

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Solution

The fourth proportional to 24.31, 36.47 and 13.49 is: 20.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.31 : 36.47 = 13.49 : x
  2. Step 2: Convert to fraction form
    24.31/36.47 = 13.49/x
  3. Step 3: Cross multiply
    24.31x = 36.47 × 13.49
  4. Step 4: Simplify right side
    24.31x = 491.73
  5. Step 5: Solve for x
    x = 491.73/24.31
  6. Step 6: Final answer
    x = 20.23

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Double scale
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Similar ratio
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1.5x scale

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.