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Finding the Fourth Proportional to 6,821.85, 9,414.01 and 3,990.90

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Solution

The fourth proportional to 6,821.85, 9,414.01 and 3,990.90 is: 5,507.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.85 : 9,414.01 = 3,990.90 : x
  2. Step 2: Convert to fraction form
    6,821.85/9,414.01 = 3,990.90/x
  3. Step 3: Cross multiply
    6,821.85x = 9,414.01 × 3,990.90
  4. Step 4: Simplify right side
    6,821.85x = 37,570,352.36
  5. Step 5: Solve for x
    x = 37,570,352.36/6,821.85
  6. Step 6: Final answer
    x = 5,507.36

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1.5x scale

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.