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Finding the Fourth Proportional to 47.81, 71.25 and 46.59

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Solution

The fourth proportional to 47.81, 71.25 and 46.59 is: 69.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.81 : 71.25 = 46.59 : x
  2. Step 2: Convert to fraction form
    47.81/71.25 = 46.59/x
  3. Step 3: Cross multiply
    47.81x = 71.25 × 46.59
  4. Step 4: Simplify right side
    47.81x = 3,319.54
  5. Step 5: Solve for x
    x = 3,319.54/47.81
  6. Step 6: Final answer
    x = 69.44

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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.