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Finding the Fourth Proportional to 5,965.95, 8,229.33 and 3,840.78

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Solution

The fourth proportional to 5,965.95, 8,229.33 and 3,840.78 is: 5,297.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.95 : 8,229.33 = 3,840.78 : x
  2. Step 2: Convert to fraction form
    5,965.95/8,229.33 = 3,840.78/x
  3. Step 3: Cross multiply
    5,965.95x = 8,229.33 × 3,840.78
  4. Step 4: Simplify right side
    5,965.95x = 31,607,046.08
  5. Step 5: Solve for x
    x = 31,607,046.08/5,965.95
  6. Step 6: Final answer
    x = 5,297.91

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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.