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Finding the Fourth Proportional to 51.62, 77.81 and 42.71

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Solution

The fourth proportional to 51.62, 77.81 and 42.71 is: 64.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.62 : 77.81 = 42.71 : x
  2. Step 2: Convert to fraction form
    51.62/77.81 = 42.71/x
  3. Step 3: Cross multiply
    51.62x = 77.81 × 42.71
  4. Step 4: Simplify right side
    51.62x = 3,322.66
  5. Step 5: Solve for x
    x = 3,322.66/51.62
  6. Step 6: Final answer
    x = 64.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.