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Finding the Fourth Proportional to 11,915.58, 17,882.01 and 8,382.36

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Solution

The fourth proportional to 11,915.58, 17,882.01 and 8,382.36 is: 12,579.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.58 : 17,882.01 = 8,382.36 : x
  2. Step 2: Convert to fraction form
    11,915.58/17,882.01 = 8,382.36/x
  3. Step 3: Cross multiply
    11,915.58x = 17,882.01 × 8,382.36
  4. Step 4: Simplify right side
    11,915.58x = 149,893,445.34
  5. Step 5: Solve for x
    x = 149,893,445.34/11,915.58
  6. Step 6: Final answer
    x = 12,579.62

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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.