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Finding the Fourth Proportional to 9,105.30, 13,662.27 and 7,161.30

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Solution

The fourth proportional to 9,105.30, 13,662.27 and 7,161.30 is: 10,745.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.30 : 13,662.27 = 7,161.30 : x
  2. Step 2: Convert to fraction form
    9,105.30/13,662.27 = 7,161.30/x
  3. Step 3: Cross multiply
    9,105.30x = 13,662.27 × 7,161.30
  4. Step 4: Simplify right side
    9,105.30x = 97,839,614.15
  5. Step 5: Solve for x
    x = 97,839,614.15/9,105.30
  6. Step 6: Final answer
    x = 10,745.35

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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.