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Finding the Fourth Proportional to 11,909.91, 17,867.25 and 4,012.10

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Solution

The fourth proportional to 11,909.91, 17,867.25 and 4,012.10 is: 6,018.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.91 : 17,867.25 = 4,012.10 : x
  2. Step 2: Convert to fraction form
    11,909.91/17,867.25 = 4,012.10/x
  3. Step 3: Cross multiply
    11,909.91x = 17,867.25 × 4,012.10
  4. Step 4: Simplify right side
    11,909.91x = 71,685,193.73
  5. Step 5: Solve for x
    x = 71,685,193.73/11,909.91
  6. Step 6: Final answer
    x = 6,018.95

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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.