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Finding the Fourth Proportional to 7,919, 11,880.42 and 2,447

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Solution

The fourth proportional to 7,919, 11,880.42 and 2,447 is: 3,671.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,919 : 11,880.42 = 2,447 : x
  2. Step 2: Convert to fraction form
    7,919/11,880.42 = 2,447/x
  3. Step 3: Cross multiply
    7,919x = 11,880.42 × 2,447
  4. Step 4: Simplify right side
    7,919x = 29,071,387.74
  5. Step 5: Solve for x
    x = 29,071,387.74/7,919
  6. Step 6: Final answer
    x = 3,671.09

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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.