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Finding the Fourth Proportional to 3,578.83, 5,369.13 and 1,630.57

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Solution

The fourth proportional to 3,578.83, 5,369.13 and 1,630.57 is: 2,446.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.83 : 5,369.13 = 1,630.57 : x
  2. Step 2: Convert to fraction form
    3,578.83/5,369.13 = 1,630.57/x
  3. Step 3: Cross multiply
    3,578.83x = 5,369.13 × 1,630.57
  4. Step 4: Simplify right side
    3,578.83x = 8,754,742.30
  5. Step 5: Solve for x
    x = 8,754,742.30/3,578.83
  6. Step 6: Final answer
    x = 2,446.26

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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.