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Finding the Fourth Proportional to 2,048.39, 3,073.23 and 863.05

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Solution

The fourth proportional to 2,048.39, 3,073.23 and 863.05 is: 1,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.39 : 3,073.23 = 863.05 : x
  2. Step 2: Convert to fraction form
    2,048.39/3,073.23 = 863.05/x
  3. Step 3: Cross multiply
    2,048.39x = 3,073.23 × 863.05
  4. Step 4: Simplify right side
    2,048.39x = 2,652,360.99
  5. Step 5: Solve for x
    x = 2,652,360.99/2,048.39
  6. Step 6: Final answer
    x = 1,294.85

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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.