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Finding the Fourth Proportional to 3,782.66, 5,635.66 and 3,596.78

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Solution

The fourth proportional to 3,782.66, 5,635.66 and 3,596.78 is: 5,358.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.66 : 5,635.66 = 3,596.78 : x
  2. Step 2: Convert to fraction form
    3,782.66/5,635.66 = 3,596.78/x
  3. Step 3: Cross multiply
    3,782.66x = 5,635.66 × 3,596.78
  4. Step 4: Simplify right side
    3,782.66x = 20,270,229.17
  5. Step 5: Solve for x
    x = 20,270,229.17/3,782.66
  6. Step 6: Final answer
    x = 5,358.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.