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Finding the Fourth Proportional to 23.84, 32.89 and 13.47

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Solution

The fourth proportional to 23.84, 32.89 and 13.47 is: 18.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.84 : 32.89 = 13.47 : x
  2. Step 2: Convert to fraction form
    23.84/32.89 = 13.47/x
  3. Step 3: Cross multiply
    23.84x = 32.89 × 13.47
  4. Step 4: Simplify right side
    23.84x = 443.17
  5. Step 5: Solve for x
    x = 443.17/23.84
  6. Step 6: Final answer
    x = 18.59

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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.