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Finding the Fourth Proportional to 9,910.98, 13,672.04 and 6,723.20

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Solution

The fourth proportional to 9,910.98, 13,672.04 and 6,723.20 is: 9,274.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.98 : 13,672.04 = 6,723.20 : x
  2. Step 2: Convert to fraction form
    9,910.98/13,672.04 = 6,723.20/x
  3. Step 3: Cross multiply
    9,910.98x = 13,672.04 × 6,723.20
  4. Step 4: Simplify right side
    9,910.98x = 91,919,859.33
  5. Step 5: Solve for x
    x = 91,919,859.33/9,910.98
  6. Step 6: Final answer
    x = 9,274.55

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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.