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Finding the Fourth Proportional to 9,412, 14,120.22 and 3,256

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Solution

The fourth proportional to 9,412, 14,120.22 and 3,256 is: 4,884.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412 : 14,120.22 = 3,256 : x
  2. Step 2: Convert to fraction form
    9,412/14,120.22 = 3,256/x
  3. Step 3: Cross multiply
    9,412x = 14,120.22 × 3,256
  4. Step 4: Simplify right side
    9,412x = 45,975,436.32
  5. Step 5: Solve for x
    x = 45,975,436.32/9,412
  6. Step 6: Final answer
    x = 4,884.77

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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.