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Finding the Fourth Proportional to 6,866.62, 9,475.94 and 3,722.78

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Solution

The fourth proportional to 6,866.62, 9,475.94 and 3,722.78 is: 5,137.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.62 : 9,475.94 = 3,722.78 : x
  2. Step 2: Convert to fraction form
    6,866.62/9,475.94 = 3,722.78/x
  3. Step 3: Cross multiply
    6,866.62x = 9,475.94 × 3,722.78
  4. Step 4: Simplify right side
    6,866.62x = 35,276,839.91
  5. Step 5: Solve for x
    x = 35,276,839.91/6,866.62
  6. Step 6: Final answer
    x = 5,137.44

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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.