Home / 2,877-3,965.40-2,378.04

Finding the Fourth Proportional to 2,877, 3,965.40 and 2,378.04

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Solution

The fourth proportional to 2,877, 3,965.40 and 2,378.04 is: 3,277.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877 : 3,965.40 = 2,378.04 : x
  2. Step 2: Convert to fraction form
    2,877/3,965.40 = 2,378.04/x
  3. Step 3: Cross multiply
    2,877x = 3,965.40 × 2,378.04
  4. Step 4: Simplify right side
    2,877x = 9,429,879.82
  5. Step 5: Solve for x
    x = 9,429,879.82/2,877
  6. Step 6: Final answer
    x = 3,277.68

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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.