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Finding the Fourth Proportional to 1,961.54, 2,942.37 and 987.11

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Solution

The fourth proportional to 1,961.54, 2,942.37 and 987.11 is: 1,480.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.54 : 2,942.37 = 987.11 : x
  2. Step 2: Convert to fraction form
    1,961.54/2,942.37 = 987.11/x
  3. Step 3: Cross multiply
    1,961.54x = 2,942.37 × 987.11
  4. Step 4: Simplify right side
    1,961.54x = 2,904,442.85
  5. Step 5: Solve for x
    x = 2,904,442.85/1,961.54
  6. Step 6: Final answer
    x = 1,480.70

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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.