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Finding the Fourth Proportional to 48.66, 72.57 and 47.85

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Solution

The fourth proportional to 48.66, 72.57 and 47.85 is: 71.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.66 : 72.57 = 47.85 : x
  2. Step 2: Convert to fraction form
    48.66/72.57 = 47.85/x
  3. Step 3: Cross multiply
    48.66x = 72.57 × 47.85
  4. Step 4: Simplify right side
    48.66x = 3,472.47
  5. Step 5: Solve for x
    x = 3,472.47/48.66
  6. Step 6: Final answer
    x = 71.36

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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.