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Finding the Fourth Proportional to 51.96, 71.86 and 48.92

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Solution

The fourth proportional to 51.96, 71.86 and 48.92 is: 67.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.96 : 71.86 = 48.92 : x
  2. Step 2: Convert to fraction form
    51.96/71.86 = 48.92/x
  3. Step 3: Cross multiply
    51.96x = 71.86 × 48.92
  4. Step 4: Simplify right side
    51.96x = 3,515.39
  5. Step 5: Solve for x
    x = 3,515.39/51.96
  6. Step 6: Final answer
    x = 67.66

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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.