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Finding the Fourth Proportional to 2,696.88, 3,722.52 and 1,578.07

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Solution

The fourth proportional to 2,696.88, 3,722.52 and 1,578.07 is: 2,178.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.88 : 3,722.52 = 1,578.07 : x
  2. Step 2: Convert to fraction form
    2,696.88/3,722.52 = 1,578.07/x
  3. Step 3: Cross multiply
    2,696.88x = 3,722.52 × 1,578.07
  4. Step 4: Simplify right side
    2,696.88x = 5,874,397.14
  5. Step 5: Solve for x
    x = 5,874,397.14/2,696.88
  6. Step 6: Final answer
    x = 2,178.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.