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Finding the Fourth Proportional to 47.05, 64.91 and 28.61

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Solution

The fourth proportional to 47.05, 64.91 and 28.61 is: 39.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.05 : 64.91 = 28.61 : x
  2. Step 2: Convert to fraction form
    47.05/64.91 = 28.61/x
  3. Step 3: Cross multiply
    47.05x = 64.91 × 28.61
  4. Step 4: Simplify right side
    47.05x = 1,857.31
  5. Step 5: Solve for x
    x = 1,857.31/47.05
  6. Step 6: Final answer
    x = 39.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.