Home / 2,822.46-3,894.10-1,643.31

Finding the Fourth Proportional to 2,822.46, 3,894.10 and 1,643.31

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Solution

The fourth proportional to 2,822.46, 3,894.10 and 1,643.31 is: 2,267.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.46 : 3,894.10 = 1,643.31 : x
  2. Step 2: Convert to fraction form
    2,822.46/3,894.10 = 1,643.31/x
  3. Step 3: Cross multiply
    2,822.46x = 3,894.10 × 1,643.31
  4. Step 4: Simplify right side
    2,822.46x = 6,399,213.47
  5. Step 5: Solve for x
    x = 6,399,213.47/2,822.46
  6. Step 6: Final answer
    x = 2,267.25

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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.