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Finding the Fourth Proportional to 2,120.60, 3,180.92 and 888.88

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Solution

The fourth proportional to 2,120.60, 3,180.92 and 888.88 is: 1,333.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.60 : 3,180.92 = 888.88 : x
  2. Step 2: Convert to fraction form
    2,120.60/3,180.92 = 888.88/x
  3. Step 3: Cross multiply
    2,120.60x = 3,180.92 × 888.88
  4. Step 4: Simplify right side
    2,120.60x = 2,827,456.17
  5. Step 5: Solve for x
    x = 2,827,456.17/2,120.60
  6. Step 6: Final answer
    x = 1,333.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.