Home / 2,822.32-3,891.36-2,074

Finding the Fourth Proportional to 2,822.32, 3,891.36 and 2,074

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Solution

The fourth proportional to 2,822.32, 3,891.36 and 2,074 is: 2,859.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.32 : 3,891.36 = 2,074 : x
  2. Step 2: Convert to fraction form
    2,822.32/3,891.36 = 2,074/x
  3. Step 3: Cross multiply
    2,822.32x = 3,891.36 × 2,074
  4. Step 4: Simplify right side
    2,822.32x = 8,070,680.64
  5. Step 5: Solve for x
    x = 8,070,680.64/2,822.32
  6. Step 6: Final answer
    x = 2,859.59

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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.