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Finding the Fourth Proportional to 6,993.42, 10,489.29 and 3,831.78

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Solution

The fourth proportional to 6,993.42, 10,489.29 and 3,831.78 is: 5,747.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.42 : 10,489.29 = 3,831.78 : x
  2. Step 2: Convert to fraction form
    6,993.42/10,489.29 = 3,831.78/x
  3. Step 3: Cross multiply
    6,993.42x = 10,489.29 × 3,831.78
  4. Step 4: Simplify right side
    6,993.42x = 40,192,651.64
  5. Step 5: Solve for x
    x = 40,192,651.64/6,993.42
  6. Step 6: Final answer
    x = 5,747.21

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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.