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Finding the Fourth Proportional to 2,542.82, 3,806.78 and 1,928.95

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Solution

The fourth proportional to 2,542.82, 3,806.78 and 1,928.95 is: 2,887.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.82 : 3,806.78 = 1,928.95 : x
  2. Step 2: Convert to fraction form
    2,542.82/3,806.78 = 1,928.95/x
  3. Step 3: Cross multiply
    2,542.82x = 3,806.78 × 1,928.95
  4. Step 4: Simplify right side
    2,542.82x = 7,343,069.12
  5. Step 5: Solve for x
    x = 7,343,069.12/2,542.82
  6. Step 6: Final answer
    x = 2,887.77

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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.