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Finding the Fourth Proportional to 51.76, 71.35 and 41.94

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Solution

The fourth proportional to 51.76, 71.35 and 41.94 is: 57.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.76 : 71.35 = 41.94 : x
  2. Step 2: Convert to fraction form
    51.76/71.35 = 41.94/x
  3. Step 3: Cross multiply
    51.76x = 71.35 × 41.94
  4. Step 4: Simplify right side
    51.76x = 2,992.56
  5. Step 5: Solve for x
    x = 2,992.56/51.76
  6. Step 6: Final answer
    x = 57.81

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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.