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Finding the Fourth Proportional to 11,919.24, 17,825.16 and 9,108.90

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Solution

The fourth proportional to 11,919.24, 17,825.16 and 9,108.90 is: 13,622.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,919.24 : 17,825.16 = 9,108.90 : x
  2. Step 2: Convert to fraction form
    11,919.24/17,825.16 = 9,108.90/x
  3. Step 3: Cross multiply
    11,919.24x = 17,825.16 × 9,108.90
  4. Step 4: Simplify right side
    11,919.24x = 162,367,599.92
  5. Step 5: Solve for x
    x = 162,367,599.92/11,919.24
  6. Step 6: Final answer
    x = 13,622.31

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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.