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Finding the Fourth Proportional to 11,578.31, 17,368.93 and 3,678

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Solution

The fourth proportional to 11,578.31, 17,368.93 and 3,678 is: 5,517.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.31 : 17,368.93 = 3,678 : x
  2. Step 2: Convert to fraction form
    11,578.31/17,368.93 = 3,678/x
  3. Step 3: Cross multiply
    11,578.31x = 17,368.93 × 3,678
  4. Step 4: Simplify right side
    11,578.31x = 63,882,924.54
  5. Step 5: Solve for x
    x = 63,882,924.54/11,578.31
  6. Step 6: Final answer
    x = 5,517.47

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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.