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Finding the Fourth Proportional to 24.55, 36.76 and 13.13

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Solution

The fourth proportional to 24.55, 36.76 and 13.13 is: 19.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.55 : 36.76 = 13.13 : x
  2. Step 2: Convert to fraction form
    24.55/36.76 = 13.13/x
  3. Step 3: Cross multiply
    24.55x = 36.76 × 13.13
  4. Step 4: Simplify right side
    24.55x = 482.63
  5. Step 5: Solve for x
    x = 482.63/24.55
  6. Step 6: Final answer
    x = 19.66

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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.