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Finding the Fourth Proportional to 16.50, 24.63 and 13.11

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Solution

The fourth proportional to 16.50, 24.63 and 13.11 is: 19.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.50 : 24.63 = 13.11 : x
  2. Step 2: Convert to fraction form
    16.50/24.63 = 13.11/x
  3. Step 3: Cross multiply
    16.50x = 24.63 × 13.11
  4. Step 4: Simplify right side
    16.50x = 322.76
  5. Step 5: Solve for x
    x = 322.76/16.50
  6. Step 6: Final answer
    x = 19.56

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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.