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Finding the Fourth Proportional to 2,863.44, 4,294.49 and 782.95

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Solution

The fourth proportional to 2,863.44, 4,294.49 and 782.95 is: 1,174.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.44 : 4,294.49 = 782.95 : x
  2. Step 2: Convert to fraction form
    2,863.44/4,294.49 = 782.95/x
  3. Step 3: Cross multiply
    2,863.44x = 4,294.49 × 782.95
  4. Step 4: Simplify right side
    2,863.44x = 3,362,370.95
  5. Step 5: Solve for x
    x = 3,362,370.95/2,863.44
  6. Step 6: Final answer
    x = 1,174.24

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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.