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Finding the Fourth Proportional to 11,787.62, 17,676.80 and 4,388.03

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Solution

The fourth proportional to 11,787.62, 17,676.80 and 4,388.03 is: 6,580.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787.62 : 17,676.80 = 4,388.03 : x
  2. Step 2: Convert to fraction form
    11,787.62/17,676.80 = 4,388.03/x
  3. Step 3: Cross multiply
    11,787.62x = 17,676.80 × 4,388.03
  4. Step 4: Simplify right side
    11,787.62x = 77,566,328.70
  5. Step 5: Solve for x
    x = 77,566,328.70/11,787.62
  6. Step 6: Final answer
    x = 6,580.32

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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.