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Finding the Fourth Proportional to 6,422.95, 8,860.05 and 3,769.85

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Solution

The fourth proportional to 6,422.95, 8,860.05 and 3,769.85 is: 5,200.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.95 : 8,860.05 = 3,769.85 : x
  2. Step 2: Convert to fraction form
    6,422.95/8,860.05 = 3,769.85/x
  3. Step 3: Cross multiply
    6,422.95x = 8,860.05 × 3,769.85
  4. Step 4: Simplify right side
    6,422.95x = 33,401,081.64
  5. Step 5: Solve for x
    x = 33,401,081.64/6,422.95
  6. Step 6: Final answer
    x = 5,200.27

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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.