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Finding the Fourth Proportional to 2,961.38, 4,442.49 and 986.36

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Solution

The fourth proportional to 2,961.38, 4,442.49 and 986.36 is: 1,479.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.38 : 4,442.49 = 986.36 : x
  2. Step 2: Convert to fraction form
    2,961.38/4,442.49 = 986.36/x
  3. Step 3: Cross multiply
    2,961.38x = 4,442.49 × 986.36
  4. Step 4: Simplify right side
    2,961.38x = 4,381,894.44
  5. Step 5: Solve for x
    x = 4,381,894.44/2,961.38
  6. Step 6: Final answer
    x = 1,479.68

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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.