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Finding the Fourth Proportional to 2,063.08, 3,092.46 and 830.20

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Solution

The fourth proportional to 2,063.08, 3,092.46 and 830.20 is: 1,244.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.08 : 3,092.46 = 830.20 : x
  2. Step 2: Convert to fraction form
    2,063.08/3,092.46 = 830.20/x
  3. Step 3: Cross multiply
    2,063.08x = 3,092.46 × 830.20
  4. Step 4: Simplify right side
    2,063.08x = 2,567,360.29
  5. Step 5: Solve for x
    x = 2,567,360.29/2,063.08
  6. Step 6: Final answer
    x = 1,244.43

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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.