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Finding the Fourth Proportional to 6,822.40, 10,243.20 and 4,230.40

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Solution

The fourth proportional to 6,822.40, 10,243.20 and 4,230.40 is: 6,351.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.40 : 10,243.20 = 4,230.40 : x
  2. Step 2: Convert to fraction form
    6,822.40/10,243.20 = 4,230.40/x
  3. Step 3: Cross multiply
    6,822.40x = 10,243.20 × 4,230.40
  4. Step 4: Simplify right side
    6,822.40x = 43,332,833.28
  5. Step 5: Solve for x
    x = 43,332,833.28/6,822.40
  6. Step 6: Final answer
    x = 6,351.55

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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.