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Finding the Fourth Proportional to 2,402.12, 3,604.62 and 863.24

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Solution

The fourth proportional to 2,402.12, 3,604.62 and 863.24 is: 1,295.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.12 : 3,604.62 = 863.24 : x
  2. Step 2: Convert to fraction form
    2,402.12/3,604.62 = 863.24/x
  3. Step 3: Cross multiply
    2,402.12x = 3,604.62 × 863.24
  4. Step 4: Simplify right side
    2,402.12x = 3,111,652.17
  5. Step 5: Solve for x
    x = 3,111,652.17/2,402.12
  6. Step 6: Final answer
    x = 1,295.38

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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.