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Finding the Fourth Proportional to 62.17, 93.43 and 47.82

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Solution

The fourth proportional to 62.17, 93.43 and 47.82 is: 71.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.17 : 93.43 = 47.82 : x
  2. Step 2: Convert to fraction form
    62.17/93.43 = 47.82/x
  3. Step 3: Cross multiply
    62.17x = 93.43 × 47.82
  4. Step 4: Simplify right side
    62.17x = 4,467.82
  5. Step 5: Solve for x
    x = 4,467.82/62.17
  6. Step 6: Final answer
    x = 71.86

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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.