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Finding the Fourth Proportional to 48.38, 71.82 and 47.57

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Solution

The fourth proportional to 48.38, 71.82 and 47.57 is: 70.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.38 : 71.82 = 47.57 : x
  2. Step 2: Convert to fraction form
    48.38/71.82 = 47.57/x
  3. Step 3: Cross multiply
    48.38x = 71.82 × 47.57
  4. Step 4: Simplify right side
    48.38x = 3,416.12
  5. Step 5: Solve for x
    x = 3,416.12/48.38
  6. Step 6: Final answer
    x = 70.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.