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Finding the Fourth Proportional to 4,965.36, 7,446.81 and 1,678.38

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Solution

The fourth proportional to 4,965.36, 7,446.81 and 1,678.38 is: 2,517.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.36 : 7,446.81 = 1,678.38 : x
  2. Step 2: Convert to fraction form
    4,965.36/7,446.81 = 1,678.38/x
  3. Step 3: Cross multiply
    4,965.36x = 7,446.81 × 1,678.38
  4. Step 4: Simplify right side
    4,965.36x = 12,498,576.97
  5. Step 5: Solve for x
    x = 12,498,576.97/4,965.36
  6. Step 6: Final answer
    x = 2,517.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.