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Finding the Fourth Proportional to 1,616.88, 2,237.71 and 1,578.06

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Solution

The fourth proportional to 1,616.88, 2,237.71 and 1,578.06 is: 2,183.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.88 : 2,237.71 = 1,578.06 : x
  2. Step 2: Convert to fraction form
    1,616.88/2,237.71 = 1,578.06/x
  3. Step 3: Cross multiply
    1,616.88x = 2,237.71 × 1,578.06
  4. Step 4: Simplify right side
    1,616.88x = 3,531,249.77
  5. Step 5: Solve for x
    x = 3,531,249.77/1,616.88
  6. Step 6: Final answer
    x = 2,183.98

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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.