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Finding the Fourth Proportional to 6,809.78, 10,214.73 and 2,192.78

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Solution

The fourth proportional to 6,809.78, 10,214.73 and 2,192.78 is: 3,289.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.78 : 10,214.73 = 2,192.78 : x
  2. Step 2: Convert to fraction form
    6,809.78/10,214.73 = 2,192.78/x
  3. Step 3: Cross multiply
    6,809.78x = 10,214.73 × 2,192.78
  4. Step 4: Simplify right side
    6,809.78x = 22,398,655.65
  5. Step 5: Solve for x
    x = 22,398,655.65/6,809.78
  6. Step 6: Final answer
    x = 3,289.19

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1.5x scale

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.