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Finding the Fourth Proportional to 2,244.78, 3,078 and 2,022.84

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Solution

The fourth proportional to 2,244.78, 3,078 and 2,022.84 is: 2,773.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244.78 : 3,078 = 2,022.84 : x
  2. Step 2: Convert to fraction form
    2,244.78/3,078 = 2,022.84/x
  3. Step 3: Cross multiply
    2,244.78x = 3,078 × 2,022.84
  4. Step 4: Simplify right side
    2,244.78x = 6,226,301.52
  5. Step 5: Solve for x
    x = 6,226,301.52/2,244.78
  6. Step 6: Final answer
    x = 2,773.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.