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Finding the Fourth Proportional to 7,664.90, 11,496.92 and 2,399.90

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Solution

The fourth proportional to 7,664.90, 11,496.92 and 2,399.90 is: 3,599.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.90 : 11,496.92 = 2,399.90 : x
  2. Step 2: Convert to fraction form
    7,664.90/11,496.92 = 2,399.90/x
  3. Step 3: Cross multiply
    7,664.90x = 11,496.92 × 2,399.90
  4. Step 4: Simplify right side
    7,664.90x = 27,591,388.82
  5. Step 5: Solve for x
    x = 27,591,388.82/7,664.90
  6. Step 6: Final answer
    x = 3,599.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.