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Finding the Fourth Proportional to 2,616, 3,922.56 and 2,328

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Solution

The fourth proportional to 2,616, 3,922.56 and 2,328 is: 3,490.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616 : 3,922.56 = 2,328 : x
  2. Step 2: Convert to fraction form
    2,616/3,922.56 = 2,328/x
  3. Step 3: Cross multiply
    2,616x = 3,922.56 × 2,328
  4. Step 4: Simplify right side
    2,616x = 9,131,719.68
  5. Step 5: Solve for x
    x = 9,131,719.68/2,616
  6. Step 6: Final answer
    x = 3,490.72

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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.