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Finding the Fourth Proportional to 3,561.78, 4,916.94 and 2,069.44

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Solution

The fourth proportional to 3,561.78, 4,916.94 and 2,069.44 is: 2,856.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,561.78 : 4,916.94 = 2,069.44 : x
  2. Step 2: Convert to fraction form
    3,561.78/4,916.94 = 2,069.44/x
  3. Step 3: Cross multiply
    3,561.78x = 4,916.94 × 2,069.44
  4. Step 4: Simplify right side
    3,561.78x = 10,175,312.31
  5. Step 5: Solve for x
    x = 10,175,312.31/3,561.78
  6. Step 6: Final answer
    x = 2,856.81

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Why These Related Problems?

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