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Finding the Fourth Proportional to 6,399.39, 9,580.40 and 5,169.20

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Solution

The fourth proportional to 6,399.39, 9,580.40 and 5,169.20 is: 7,738.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.39 : 9,580.40 = 5,169.20 : x
  2. Step 2: Convert to fraction form
    6,399.39/9,580.40 = 5,169.20/x
  3. Step 3: Cross multiply
    6,399.39x = 9,580.40 × 5,169.20
  4. Step 4: Simplify right side
    6,399.39x = 49,522,929.93
  5. Step 5: Solve for x
    x = 49,522,929.93/6,399.39
  6. Step 6: Final answer
    x = 7,738.70

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1.5x scale

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.