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Finding the Fourth Proportional to 21.59, 32.31 and 13.46

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Solution

The fourth proportional to 21.59, 32.31 and 13.46 is: 20.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.59 : 32.31 = 13.46 : x
  2. Step 2: Convert to fraction form
    21.59/32.31 = 13.46/x
  3. Step 3: Cross multiply
    21.59x = 32.31 × 13.46
  4. Step 4: Simplify right side
    21.59x = 434.92
  5. Step 5: Solve for x
    x = 434.92/21.59
  6. Step 6: Final answer
    x = 20.14

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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.