Home / 3,078-4,247.76-1,836.72

Finding the Fourth Proportional to 3,078, 4,247.76 and 1,836.72

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Solution

The fourth proportional to 3,078, 4,247.76 and 1,836.72 is: 2,534.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078 : 4,247.76 = 1,836.72 : x
  2. Step 2: Convert to fraction form
    3,078/4,247.76 = 1,836.72/x
  3. Step 3: Cross multiply
    3,078x = 4,247.76 × 1,836.72
  4. Step 4: Simplify right side
    3,078x = 7,801,945.75
  5. Step 5: Solve for x
    x = 7,801,945.75/3,078
  6. Step 6: Final answer
    x = 2,534.75

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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.