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Finding the Fourth Proportional to 6,803.74, 9,387.56 and 3,969.42

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Solution

The fourth proportional to 6,803.74, 9,387.56 and 3,969.42 is: 5,476.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.74 : 9,387.56 = 3,969.42 : x
  2. Step 2: Convert to fraction form
    6,803.74/9,387.56 = 3,969.42/x
  3. Step 3: Cross multiply
    6,803.74x = 9,387.56 × 3,969.42
  4. Step 4: Simplify right side
    6,803.74x = 37,263,168.42
  5. Step 5: Solve for x
    x = 37,263,168.42/6,803.74
  6. Step 6: Final answer
    x = 5,476.87

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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.