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Finding the Fourth Proportional to 61, 84.12 and 37.68

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Solution

The fourth proportional to 61, 84.12 and 37.68 is: 51.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    61 : 84.12 = 37.68 : x
  2. Step 2: Convert to fraction form
    61/84.12 = 37.68/x
  3. Step 3: Cross multiply
    61x = 84.12 × 37.68
  4. Step 4: Simplify right side
    61x = 3,169.64
  5. Step 5: Solve for x
    x = 3,169.64/61
  6. Step 6: Final answer
    x = 51.96

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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.