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Finding the Fourth Proportional to 11,585.45, 17,375.51 and 6,906.78

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Solution

The fourth proportional to 11,585.45, 17,375.51 and 6,906.78 is: 10,358.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.45 : 17,375.51 = 6,906.78 : x
  2. Step 2: Convert to fraction form
    11,585.45/17,375.51 = 6,906.78/x
  3. Step 3: Cross multiply
    11,585.45x = 17,375.51 × 6,906.78
  4. Step 4: Simplify right side
    11,585.45x = 120,008,703.55
  5. Step 5: Solve for x
    x = 120,008,703.55/11,585.45
  6. Step 6: Final answer
    x = 10,358.57

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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.