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Finding the Fourth Proportional to 6,800, 9,399.72 and 5,674.40

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Solution

The fourth proportional to 6,800, 9,399.72 and 5,674.40 is: 7,843.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800 : 9,399.72 = 5,674.40 : x
  2. Step 2: Convert to fraction form
    6,800/9,399.72 = 5,674.40/x
  3. Step 3: Cross multiply
    6,800x = 9,399.72 × 5,674.40
  4. Step 4: Simplify right side
    6,800x = 53,337,771.17
  5. Step 5: Solve for x
    x = 53,337,771.17/6,800
  6. Step 6: Final answer
    x = 7,843.79

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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.