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Finding the Fourth Proportional to 7,227, 10,844.84 and 3,123

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Solution

The fourth proportional to 7,227, 10,844.84 and 3,123 is: 4,686.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227 : 10,844.84 = 3,123 : x
  2. Step 2: Convert to fraction form
    7,227/10,844.84 = 3,123/x
  3. Step 3: Cross multiply
    7,227x = 10,844.84 × 3,123
  4. Step 4: Simplify right side
    7,227x = 33,868,435.32
  5. Step 5: Solve for x
    x = 33,868,435.32/7,227
  6. Step 6: Final answer
    x = 4,686.38

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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.