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Finding the Fourth Proportional to 51.82, 77.08 and 51.64

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Solution

The fourth proportional to 51.82, 77.08 and 51.64 is: 76.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.82 : 77.08 = 51.64 : x
  2. Step 2: Convert to fraction form
    51.82/77.08 = 51.64/x
  3. Step 3: Cross multiply
    51.82x = 77.08 × 51.64
  4. Step 4: Simplify right side
    51.82x = 3,980.15
  5. Step 5: Solve for x
    x = 3,980.15/51.82
  6. Step 6: Final answer
    x = 76.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.