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Finding the Fourth Proportional to 7,872.75, 11,801.79 and 3,487.77

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Solution

The fourth proportional to 7,872.75, 11,801.79 and 3,487.77 is: 5,228.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.75 : 11,801.79 = 3,487.77 : x
  2. Step 2: Convert to fraction form
    7,872.75/11,801.79 = 3,487.77/x
  3. Step 3: Cross multiply
    7,872.75x = 11,801.79 × 3,487.77
  4. Step 4: Simplify right side
    7,872.75x = 41,161,929.11
  5. Step 5: Solve for x
    x = 41,161,929.11/7,872.75
  6. Step 6: Final answer
    x = 5,228.41

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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.