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Finding the Fourth Proportional to 6,809.96, 9,399.68 and 3,977.99

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Solution

The fourth proportional to 6,809.96, 9,399.68 and 3,977.99 is: 5,490.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.96 : 9,399.68 = 3,977.99 : x
  2. Step 2: Convert to fraction form
    6,809.96/9,399.68 = 3,977.99/x
  3. Step 3: Cross multiply
    6,809.96x = 9,399.68 × 3,977.99
  4. Step 4: Simplify right side
    6,809.96x = 37,391,766.15
  5. Step 5: Solve for x
    x = 37,391,766.15/6,809.96
  6. Step 6: Final answer
    x = 5,490.75

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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.