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Finding the Fourth Proportional to 31.68, 47.28 and 27.84

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Solution

The fourth proportional to 31.68, 47.28 and 27.84 is: 41.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.68 : 47.28 = 27.84 : x
  2. Step 2: Convert to fraction form
    31.68/47.28 = 27.84/x
  3. Step 3: Cross multiply
    31.68x = 47.28 × 27.84
  4. Step 4: Simplify right side
    31.68x = 1,316.28
  5. Step 5: Solve for x
    x = 1,316.28/31.68
  6. Step 6: Final answer
    x = 41.55

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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.