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Finding the Fourth Proportional to 2,099.21, 3,148.92 and 800.78

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Solution

The fourth proportional to 2,099.21, 3,148.92 and 800.78 is: 1,201.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.21 : 3,148.92 = 800.78 : x
  2. Step 2: Convert to fraction form
    2,099.21/3,148.92 = 800.78/x
  3. Step 3: Cross multiply
    2,099.21x = 3,148.92 × 800.78
  4. Step 4: Simplify right side
    2,099.21x = 2,521,592.16
  5. Step 5: Solve for x
    x = 2,521,592.16/2,099.21
  6. Step 6: Final answer
    x = 1,201.21

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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.