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Finding the Fourth Proportional to 2,033.42, 3,050.07 and 800.79

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Solution

The fourth proportional to 2,033.42, 3,050.07 and 800.79 is: 1,201.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.42 : 3,050.07 = 800.79 : x
  2. Step 2: Convert to fraction form
    2,033.42/3,050.07 = 800.79/x
  3. Step 3: Cross multiply
    2,033.42x = 3,050.07 × 800.79
  4. Step 4: Simplify right side
    2,033.42x = 2,442,465.56
  5. Step 5: Solve for x
    x = 2,442,465.56/2,033.42
  6. Step 6: Final answer
    x = 1,201.16

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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.