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Finding the Fourth Proportional to 2,679.78, 4,018.24 and 1,218.14

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Solution

The fourth proportional to 2,679.78, 4,018.24 and 1,218.14 is: 1,826.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.78 : 4,018.24 = 1,218.14 : x
  2. Step 2: Convert to fraction form
    2,679.78/4,018.24 = 1,218.14/x
  3. Step 3: Cross multiply
    2,679.78x = 4,018.24 × 1,218.14
  4. Step 4: Simplify right side
    2,679.78x = 4,894,778.87
  5. Step 5: Solve for x
    x = 4,894,778.87/2,679.78
  6. Step 6: Final answer
    x = 1,826.56

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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.