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Finding the Fourth Proportional to 6,321.78, 8,724.05 and 3,527.28

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Solution

The fourth proportional to 6,321.78, 8,724.05 and 3,527.28 is: 4,867.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.78 : 8,724.05 = 3,527.28 : x
  2. Step 2: Convert to fraction form
    6,321.78/8,724.05 = 3,527.28/x
  3. Step 3: Cross multiply
    6,321.78x = 8,724.05 × 3,527.28
  4. Step 4: Simplify right side
    6,321.78x = 30,772,136.46
  5. Step 5: Solve for x
    x = 30,772,136.46/6,321.78
  6. Step 6: Final answer
    x = 4,867.64

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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.