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Finding the Fourth Proportional to 2,142.11, 3,213.11 and 987.86

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Solution

The fourth proportional to 2,142.11, 3,213.11 and 987.86 is: 1,481.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.11 : 3,213.11 = 987.86 : x
  2. Step 2: Convert to fraction form
    2,142.11/3,213.11 = 987.86/x
  3. Step 3: Cross multiply
    2,142.11x = 3,213.11 × 987.86
  4. Step 4: Simplify right side
    2,142.11x = 3,174,102.84
  5. Step 5: Solve for x
    x = 3,174,102.84/2,142.11
  6. Step 6: Final answer
    x = 1,481.76

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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.