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Finding the Fourth Proportional to 11,719.04, 17,578.56 and 2,954.64

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Solution

The fourth proportional to 11,719.04, 17,578.56 and 2,954.64 is: 4,431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,719.04 : 17,578.56 = 2,954.64 : x
  2. Step 2: Convert to fraction form
    11,719.04/17,578.56 = 2,954.64/x
  3. Step 3: Cross multiply
    11,719.04x = 17,578.56 × 2,954.64
  4. Step 4: Simplify right side
    11,719.04x = 51,938,316.52
  5. Step 5: Solve for x
    x = 51,938,316.52/11,719.04
  6. Step 6: Final answer
    x = 4,431.96

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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.