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Finding the Fourth Proportional to 11,399.98, 15,729.96 and 6,922.84

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Solution

The fourth proportional to 11,399.98, 15,729.96 and 6,922.84 is: 9,552.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,399.98 : 15,729.96 = 6,922.84 : x
  2. Step 2: Convert to fraction form
    11,399.98/15,729.96 = 6,922.84/x
  3. Step 3: Cross multiply
    11,399.98x = 15,729.96 × 6,922.84
  4. Step 4: Simplify right side
    11,399.98x = 108,895,996.29
  5. Step 5: Solve for x
    x = 108,895,996.29/11,399.98
  6. Step 6: Final answer
    x = 9,552.30

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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.