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Finding the Fourth Proportional to 6,330.84, 9,489.50 and 3,213.16

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Solution

The fourth proportional to 6,330.84, 9,489.50 and 3,213.16 is: 4,816.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,330.84 : 9,489.50 = 3,213.16 : x
  2. Step 2: Convert to fraction form
    6,330.84/9,489.50 = 3,213.16/x
  3. Step 3: Cross multiply
    6,330.84x = 9,489.50 × 3,213.16
  4. Step 4: Simplify right side
    6,330.84x = 30,491,281.82
  5. Step 5: Solve for x
    x = 30,491,281.82/6,330.84
  6. Step 6: Final answer
    x = 4,816.31

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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.