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Finding the Fourth Proportional to 11,491.88, 15,860.15 and 6,456.11

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Solution

The fourth proportional to 11,491.88, 15,860.15 and 6,456.11 is: 8,910.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.88 : 15,860.15 = 6,456.11 : x
  2. Step 2: Convert to fraction form
    11,491.88/15,860.15 = 6,456.11/x
  3. Step 3: Cross multiply
    11,491.88x = 15,860.15 × 6,456.11
  4. Step 4: Simplify right side
    11,491.88x = 102,394,809.86
  5. Step 5: Solve for x
    x = 102,394,809.86/11,491.88
  6. Step 6: Final answer
    x = 8,910.19

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.