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Finding the Fourth Proportional to 2,882, 3,976.80 and 1,622.88

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Solution

The fourth proportional to 2,882, 3,976.80 and 1,622.88 is: 2,239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882 : 3,976.80 = 1,622.88 : x
  2. Step 2: Convert to fraction form
    2,882/3,976.80 = 1,622.88/x
  3. Step 3: Cross multiply
    2,882x = 3,976.80 × 1,622.88
  4. Step 4: Simplify right side
    2,882x = 6,453,869.18
  5. Step 5: Solve for x
    x = 6,453,869.18/2,882
  6. Step 6: Final answer
    x = 2,239.37

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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.