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Finding the Fourth Proportional to 51.91, 71.95 and 51.05

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Solution

The fourth proportional to 51.91, 71.95 and 51.05 is: 70.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.91 : 71.95 = 51.05 : x
  2. Step 2: Convert to fraction form
    51.91/71.95 = 51.05/x
  3. Step 3: Cross multiply
    51.91x = 71.95 × 51.05
  4. Step 4: Simplify right side
    51.91x = 3,672.56
  5. Step 5: Solve for x
    x = 3,672.56/51.91
  6. Step 6: Final answer
    x = 70.76

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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.