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Finding the Fourth Proportional to 31.77, 47.68 and 24.55

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Solution

The fourth proportional to 31.77, 47.68 and 24.55 is: 36.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.77 : 47.68 = 24.55 : x
  2. Step 2: Convert to fraction form
    31.77/47.68 = 24.55/x
  3. Step 3: Cross multiply
    31.77x = 47.68 × 24.55
  4. Step 4: Simplify right side
    31.77x = 1,170.36
  5. Step 5: Solve for x
    x = 1,170.36/31.77
  6. Step 6: Final answer
    x = 36.84

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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.