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Finding the Fourth Proportional to 8,354.22, 11,544.03 and 7,949.34

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Solution

The fourth proportional to 8,354.22, 11,544.03 and 7,949.34 is: 10,984.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.22 : 11,544.03 = 7,949.34 : x
  2. Step 2: Convert to fraction form
    8,354.22/11,544.03 = 7,949.34/x
  3. Step 3: Cross multiply
    8,354.22x = 11,544.03 × 7,949.34
  4. Step 4: Simplify right side
    8,354.22x = 91,767,419.44
  5. Step 5: Solve for x
    x = 91,767,419.44/8,354.22
  6. Step 6: Final answer
    x = 10,984.56

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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.