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Finding the Fourth Proportional to 6,356.25, 8,771.63 and 3,872.25

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Solution

The fourth proportional to 6,356.25, 8,771.63 and 3,872.25 is: 5,343.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.25 : 8,771.63 = 3,872.25 : x
  2. Step 2: Convert to fraction form
    6,356.25/8,771.63 = 3,872.25/x
  3. Step 3: Cross multiply
    6,356.25x = 8,771.63 × 3,872.25
  4. Step 4: Simplify right side
    6,356.25x = 33,965,924.91
  5. Step 5: Solve for x
    x = 33,965,924.91/6,356.25
  6. Step 6: Final answer
    x = 5,343.71

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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.