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Finding the Fourth Proportional to 11,838.42, 17,758.08 and 3,941.64

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Solution

The fourth proportional to 11,838.42, 17,758.08 and 3,941.64 is: 5,912.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.42 : 17,758.08 = 3,941.64 : x
  2. Step 2: Convert to fraction form
    11,838.42/17,758.08 = 3,941.64/x
  3. Step 3: Cross multiply
    11,838.42x = 17,758.08 × 3,941.64
  4. Step 4: Simplify right side
    11,838.42x = 69,995,958.45
  5. Step 5: Solve for x
    x = 69,995,958.45/11,838.42
  6. Step 6: Final answer
    x = 5,912.61

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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.