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Finding the Fourth Proportional to 51.81, 71.82 and 49.11

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Solution

The fourth proportional to 51.81, 71.82 and 49.11 is: 68.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.81 : 71.82 = 49.11 : x
  2. Step 2: Convert to fraction form
    51.81/71.82 = 49.11/x
  3. Step 3: Cross multiply
    51.81x = 71.82 × 49.11
  4. Step 4: Simplify right side
    51.81x = 3,527.08
  5. Step 5: Solve for x
    x = 3,527.08/51.81
  6. Step 6: Final answer
    x = 68.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.