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Finding the Fourth Proportional to 3,718.95, 5,578.42 and 1,121.88

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Solution

The fourth proportional to 3,718.95, 5,578.42 and 1,121.88 is: 1,682.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.95 : 5,578.42 = 1,121.88 : x
  2. Step 2: Convert to fraction form
    3,718.95/5,578.42 = 1,121.88/x
  3. Step 3: Cross multiply
    3,718.95x = 5,578.42 × 1,121.88
  4. Step 4: Simplify right side
    3,718.95x = 6,258,342.25
  5. Step 5: Solve for x
    x = 6,258,342.25/3,718.95
  6. Step 6: Final answer
    x = 1,682.83

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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.