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Finding the Fourth Proportional to 6,826.84, 10,239.90 and 2,209.48

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Solution

The fourth proportional to 6,826.84, 10,239.90 and 2,209.48 is: 3,314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.84 : 10,239.90 = 2,209.48 : x
  2. Step 2: Convert to fraction form
    6,826.84/10,239.90 = 2,209.48/x
  3. Step 3: Cross multiply
    6,826.84x = 10,239.90 × 2,209.48
  4. Step 4: Simplify right side
    6,826.84x = 22,624,854.25
  5. Step 5: Solve for x
    x = 22,624,854.25/6,826.84
  6. Step 6: Final answer
    x = 3,314.10

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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.