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Finding the Fourth Proportional to 11,719.25, 17,578.88 and 3,511.25

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Solution

The fourth proportional to 11,719.25, 17,578.88 and 3,511.25 is: 5,266.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,719.25 : 17,578.88 = 3,511.25 : x
  2. Step 2: Convert to fraction form
    11,719.25/17,578.88 = 3,511.25/x
  3. Step 3: Cross multiply
    11,719.25x = 17,578.88 × 3,511.25
  4. Step 4: Simplify right side
    11,719.25x = 61,723,824.84
  5. Step 5: Solve for x
    x = 61,723,824.84/11,719.25
  6. Step 6: Final answer
    x = 5,266.88

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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.