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Finding the Fourth Proportional to 6,499.80, 9,743.30 and 3,213.40

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Solution

The fourth proportional to 6,499.80, 9,743.30 and 3,213.40 is: 4,816.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.80 : 9,743.30 = 3,213.40 : x
  2. Step 2: Convert to fraction form
    6,499.80/9,743.30 = 3,213.40/x
  3. Step 3: Cross multiply
    6,499.80x = 9,743.30 × 3,213.40
  4. Step 4: Simplify right side
    6,499.80x = 31,309,120.22
  5. Step 5: Solve for x
    x = 31,309,120.22/6,499.80
  6. Step 6: Final answer
    x = 4,816.94

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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.