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Finding the Fourth Proportional to 6,203.13, 9,305.03 and 1,821.03

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Solution

The fourth proportional to 6,203.13, 9,305.03 and 1,821.03 is: 2,731.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,203.13 : 9,305.03 = 1,821.03 : x
  2. Step 2: Convert to fraction form
    6,203.13/9,305.03 = 1,821.03/x
  3. Step 3: Cross multiply
    6,203.13x = 9,305.03 × 1,821.03
  4. Step 4: Simplify right side
    6,203.13x = 16,944,738.78
  5. Step 5: Solve for x
    x = 16,944,738.78/6,203.13
  6. Step 6: Final answer
    x = 2,731.64

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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.