Home / 3,578-4,932.24-3,077.96

Finding the Fourth Proportional to 3,578, 4,932.24 and 3,077.96

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Solution

The fourth proportional to 3,578, 4,932.24 and 3,077.96 is: 4,242.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578 : 4,932.24 = 3,077.96 : x
  2. Step 2: Convert to fraction form
    3,578/4,932.24 = 3,077.96/x
  3. Step 3: Cross multiply
    3,578x = 4,932.24 × 3,077.96
  4. Step 4: Simplify right side
    3,578x = 15,181,237.43
  5. Step 5: Solve for x
    x = 15,181,237.43/3,578
  6. Step 6: Final answer
    x = 4,242.94

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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.