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Finding the Fourth Proportional to 2,017.28, 3,024.30 and 863.84

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Solution

The fourth proportional to 2,017.28, 3,024.30 and 863.84 is: 1,295.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.28 : 3,024.30 = 863.84 : x
  2. Step 2: Convert to fraction form
    2,017.28/3,024.30 = 863.84/x
  3. Step 3: Cross multiply
    2,017.28x = 3,024.30 × 863.84
  4. Step 4: Simplify right side
    2,017.28x = 2,612,511.31
  5. Step 5: Solve for x
    x = 2,612,511.31/2,017.28
  6. Step 6: Final answer
    x = 1,295.07

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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.