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Finding the Fourth Proportional to 6,983.72, 9,638.66 and 4,189.80

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Solution

The fourth proportional to 6,983.72, 9,638.66 and 4,189.80 is: 5,782.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.72 : 9,638.66 = 4,189.80 : x
  2. Step 2: Convert to fraction form
    6,983.72/9,638.66 = 4,189.80/x
  3. Step 3: Cross multiply
    6,983.72x = 9,638.66 × 4,189.80
  4. Step 4: Simplify right side
    6,983.72x = 40,384,057.67
  5. Step 5: Solve for x
    x = 40,384,057.67/6,983.72
  6. Step 6: Final answer
    x = 5,782.60

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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.