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Finding the Fourth Proportional to 11,811.87, 16,299.88 and 6,772.59

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Solution

The fourth proportional to 11,811.87, 16,299.88 and 6,772.59 is: 9,345.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.87 : 16,299.88 = 6,772.59 : x
  2. Step 2: Convert to fraction form
    11,811.87/16,299.88 = 6,772.59/x
  3. Step 3: Cross multiply
    11,811.87x = 16,299.88 × 6,772.59
  4. Step 4: Simplify right side
    11,811.87x = 110,392,387.36
  5. Step 5: Solve for x
    x = 110,392,387.36/11,811.87
  6. Step 6: Final answer
    x = 9,345.89

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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.