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Finding the Fourth Proportional to 2,775.91, 4,163.33 and 801.40

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Solution

The fourth proportional to 2,775.91, 4,163.33 and 801.40 is: 1,201.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.91 : 4,163.33 = 801.40 : x
  2. Step 2: Convert to fraction form
    2,775.91/4,163.33 = 801.40/x
  3. Step 3: Cross multiply
    2,775.91x = 4,163.33 × 801.40
  4. Step 4: Simplify right side
    2,775.91x = 3,336,493.86
  5. Step 5: Solve for x
    x = 3,336,493.86/2,775.91
  6. Step 6: Final answer
    x = 1,201.95

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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.