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Finding the Fourth Proportional to 11,504.52, 15,872.49 and 6,787.89

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Solution

The fourth proportional to 11,504.52, 15,872.49 and 6,787.89 is: 9,365.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.52 : 15,872.49 = 6,787.89 : x
  2. Step 2: Convert to fraction form
    11,504.52/15,872.49 = 6,787.89/x
  3. Step 3: Cross multiply
    11,504.52x = 15,872.49 × 6,787.89
  4. Step 4: Simplify right side
    11,504.52x = 107,740,716.15
  5. Step 5: Solve for x
    x = 107,740,716.15/11,504.52
  6. Step 6: Final answer
    x = 9,365.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.