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Finding the Fourth Proportional to 7,439, 11,160.12 and 2,822

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Solution

The fourth proportional to 7,439, 11,160.12 and 2,822 is: 4,233.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,439 : 11,160.12 = 2,822 : x
  2. Step 2: Convert to fraction form
    7,439/11,160.12 = 2,822/x
  3. Step 3: Cross multiply
    7,439x = 11,160.12 × 2,822
  4. Step 4: Simplify right side
    7,439x = 31,493,858.64
  5. Step 5: Solve for x
    x = 31,493,858.64/7,439
  6. Step 6: Final answer
    x = 4,233.61

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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.