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Finding the Fourth Proportional to 12,202.31, 16,839.20 and 6,613.31

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Solution

The fourth proportional to 12,202.31, 16,839.20 and 6,613.31 is: 9,126.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.31 : 16,839.20 = 6,613.31 : x
  2. Step 2: Convert to fraction form
    12,202.31/16,839.20 = 6,613.31/x
  3. Step 3: Cross multiply
    12,202.31x = 16,839.20 × 6,613.31
  4. Step 4: Simplify right side
    12,202.31x = 111,362,849.75
  5. Step 5: Solve for x
    x = 111,362,849.75/12,202.31
  6. Step 6: Final answer
    x = 9,126.37

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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.