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Finding the Fourth Proportional to 7,229, 10,845.18 and 3,717.68

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Solution

The fourth proportional to 7,229, 10,845.18 and 3,717.68 is: 5,577.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229 : 10,845.18 = 3,717.68 : x
  2. Step 2: Convert to fraction form
    7,229/10,845.18 = 3,717.68/x
  3. Step 3: Cross multiply
    7,229x = 10,845.18 × 3,717.68
  4. Step 4: Simplify right side
    7,229x = 40,318,908.78
  5. Step 5: Solve for x
    x = 40,318,908.78/7,229
  6. Step 6: Final answer
    x = 5,577.38

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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.