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Finding the Fourth Proportional to 3,650.27, 5,036.78 and 2,078.06

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Solution

The fourth proportional to 3,650.27, 5,036.78 and 2,078.06 is: 2,867.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.27 : 5,036.78 = 2,078.06 : x
  2. Step 2: Convert to fraction form
    3,650.27/5,036.78 = 2,078.06/x
  3. Step 3: Cross multiply
    3,650.27x = 5,036.78 × 2,078.06
  4. Step 4: Simplify right side
    3,650.27x = 10,466,711.06
  5. Step 5: Solve for x
    x = 10,466,711.06/3,650.27
  6. Step 6: Final answer
    x = 2,867.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.