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Finding the Fourth Proportional to 61.36, 84.61 and 47.54

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Solution

The fourth proportional to 61.36, 84.61 and 47.54 is: 65.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.36 : 84.61 = 47.54 : x
  2. Step 2: Convert to fraction form
    61.36/84.61 = 47.54/x
  3. Step 3: Cross multiply
    61.36x = 84.61 × 47.54
  4. Step 4: Simplify right side
    61.36x = 4,022.36
  5. Step 5: Solve for x
    x = 4,022.36/61.36
  6. Step 6: Final answer
    x = 65.55

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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.