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Finding the Fourth Proportional to 11,578.36, 17,368.38 and 4,081

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Solution

The fourth proportional to 11,578.36, 17,368.38 and 4,081 is: 6,121.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.36 : 17,368.38 = 4,081 : x
  2. Step 2: Convert to fraction form
    11,578.36/17,368.38 = 4,081/x
  3. Step 3: Cross multiply
    11,578.36x = 17,368.38 × 4,081
  4. Step 4: Simplify right side
    11,578.36x = 70,880,358.78
  5. Step 5: Solve for x
    x = 70,880,358.78/11,578.36
  6. Step 6: Final answer
    x = 6,121.80

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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.