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Finding the Fourth Proportional to 51.39, 76.64 and 48.69

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Solution

The fourth proportional to 51.39, 76.64 and 48.69 is: 72.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.39 : 76.64 = 48.69 : x
  2. Step 2: Convert to fraction form
    51.39/76.64 = 48.69/x
  3. Step 3: Cross multiply
    51.39x = 76.64 × 48.69
  4. Step 4: Simplify right side
    51.39x = 3,731.36
  5. Step 5: Solve for x
    x = 3,731.36/51.39
  6. Step 6: Final answer
    x = 72.61

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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.