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Finding the Fourth Proportional to 2,867.82, 3,959.73 and 2,203.62

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Solution

The fourth proportional to 2,867.82, 3,959.73 and 2,203.62 is: 3,042.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.82 : 3,959.73 = 2,203.62 : x
  2. Step 2: Convert to fraction form
    2,867.82/3,959.73 = 2,203.62/x
  3. Step 3: Cross multiply
    2,867.82x = 3,959.73 × 2,203.62
  4. Step 4: Simplify right side
    2,867.82x = 8,725,740.22
  5. Step 5: Solve for x
    x = 8,725,740.22/2,867.82
  6. Step 6: Final answer
    x = 3,042.64

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1.5x scale

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.