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Finding the Fourth Proportional to 62.78, 94.12 and 28.52

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Solution

The fourth proportional to 62.78, 94.12 and 28.52 is: 42.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.78 : 94.12 = 28.52 : x
  2. Step 2: Convert to fraction form
    62.78/94.12 = 28.52/x
  3. Step 3: Cross multiply
    62.78x = 94.12 × 28.52
  4. Step 4: Simplify right side
    62.78x = 2,684.16
  5. Step 5: Solve for x
    x = 2,684.16/62.78
  6. Step 6: Final answer
    x = 42.76

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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.