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Finding the Fourth Proportional to 11,889.63, 17,834.85 and 5,646.42

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Solution

The fourth proportional to 11,889.63, 17,834.85 and 5,646.42 is: 8,469.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,889.63 : 17,834.85 = 5,646.42 : x
  2. Step 2: Convert to fraction form
    11,889.63/17,834.85 = 5,646.42/x
  3. Step 3: Cross multiply
    11,889.63x = 17,834.85 × 5,646.42
  4. Step 4: Simplify right side
    11,889.63x = 100,703,053.74
  5. Step 5: Solve for x
    x = 100,703,053.74/11,889.63
  6. Step 6: Final answer
    x = 8,469.82

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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.