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Finding the Fourth Proportional to 11,469.40, 17,207.17 and 9,138.20

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Solution

The fourth proportional to 11,469.40, 17,207.17 and 9,138.20 is: 13,709.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,469.40 : 17,207.17 = 9,138.20 : x
  2. Step 2: Convert to fraction form
    11,469.40/17,207.17 = 9,138.20/x
  3. Step 3: Cross multiply
    11,469.40x = 17,207.17 × 9,138.20
  4. Step 4: Simplify right side
    11,469.40x = 157,242,560.89
  5. Step 5: Solve for x
    x = 157,242,560.89/11,469.40
  6. Step 6: Final answer
    x = 13,709.75

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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.