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Finding the Fourth Proportional to 7,229.66, 10,840.74 and 3,941.87

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Solution

The fourth proportional to 7,229.66, 10,840.74 and 3,941.87 is: 5,910.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.66 : 10,840.74 = 3,941.87 : x
  2. Step 2: Convert to fraction form
    7,229.66/10,840.74 = 3,941.87/x
  3. Step 3: Cross multiply
    7,229.66x = 10,840.74 × 3,941.87
  4. Step 4: Simplify right side
    7,229.66x = 42,732,718.80
  5. Step 5: Solve for x
    x = 42,732,718.80/7,229.66
  6. Step 6: Final answer
    x = 5,910.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.