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Finding the Fourth Proportional to 2,214.78, 3,310.08 and 2,039.64

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Solution

The fourth proportional to 2,214.78, 3,310.08 and 2,039.64 is: 3,048.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.78 : 3,310.08 = 2,039.64 : x
  2. Step 2: Convert to fraction form
    2,214.78/3,310.08 = 2,039.64/x
  3. Step 3: Cross multiply
    2,214.78x = 3,310.08 × 2,039.64
  4. Step 4: Simplify right side
    2,214.78x = 6,751,371.57
  5. Step 5: Solve for x
    x = 6,751,371.57/2,214.78
  6. Step 6: Final answer
    x = 3,048.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.