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Finding the Fourth Proportional to 61.76, 92.65 and 18.43

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Solution

The fourth proportional to 61.76, 92.65 and 18.43 is: 27.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.76 : 92.65 = 18.43 : x
  2. Step 2: Convert to fraction form
    61.76/92.65 = 18.43/x
  3. Step 3: Cross multiply
    61.76x = 92.65 × 18.43
  4. Step 4: Simplify right side
    61.76x = 1,707.54
  5. Step 5: Solve for x
    x = 1,707.54/61.76
  6. Step 6: Final answer
    x = 27.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.