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Finding the Fourth Proportional to 31.98, 47.74 and 28.56

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Solution

The fourth proportional to 31.98, 47.74 and 28.56 is: 42.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.98 : 47.74 = 28.56 : x
  2. Step 2: Convert to fraction form
    31.98/47.74 = 28.56/x
  3. Step 3: Cross multiply
    31.98x = 47.74 × 28.56
  4. Step 4: Simplify right side
    31.98x = 1,363.45
  5. Step 5: Solve for x
    x = 1,363.45/31.98
  6. Step 6: Final answer
    x = 42.63

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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.