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Finding the Fourth Proportional to 6,822.40, 10,233.72 and 2,205.40

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Solution

The fourth proportional to 6,822.40, 10,233.72 and 2,205.40 is: 3,308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.40 : 10,233.72 = 2,205.40 : x
  2. Step 2: Convert to fraction form
    6,822.40/10,233.72 = 2,205.40/x
  3. Step 3: Cross multiply
    6,822.40x = 10,233.72 × 2,205.40
  4. Step 4: Simplify right side
    6,822.40x = 22,569,446.09
  5. Step 5: Solve for x
    x = 22,569,446.09/6,822.40
  6. Step 6: Final answer
    x = 3,308.14

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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.