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Finding the Fourth Proportional to 6,321.92, 8,724.43 and 3,489.46

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Solution

The fourth proportional to 6,321.92, 8,724.43 and 3,489.46 is: 4,815.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.92 : 8,724.43 = 3,489.46 : x
  2. Step 2: Convert to fraction form
    6,321.92/8,724.43 = 3,489.46/x
  3. Step 3: Cross multiply
    6,321.92x = 8,724.43 × 3,489.46
  4. Step 4: Simplify right side
    6,321.92x = 30,443,549.51
  5. Step 5: Solve for x
    x = 30,443,549.51/6,321.92
  6. Step 6: Final answer
    x = 4,815.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.