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Finding the Fourth Proportional to 51, 76.97 and 48.66

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Solution

The fourth proportional to 51, 76.97 and 48.66 is: 73.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51 : 76.97 = 48.66 : x
  2. Step 2: Convert to fraction form
    51/76.97 = 48.66/x
  3. Step 3: Cross multiply
    51x = 76.97 × 48.66
  4. Step 4: Simplify right side
    51x = 3,745.12
  5. Step 5: Solve for x
    x = 3,745.12/51
  6. Step 6: Final answer
    x = 73.43

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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.