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Finding the Fourth Proportional to 13,206.65, 19,809.97 and 8,011.31

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Solution

The fourth proportional to 13,206.65, 19,809.97 and 8,011.31 is: 12,016.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.65 : 19,809.97 = 8,011.31 : x
  2. Step 2: Convert to fraction form
    13,206.65/19,809.97 = 8,011.31/x
  3. Step 3: Cross multiply
    13,206.65x = 19,809.97 × 8,011.31
  4. Step 4: Simplify right side
    13,206.65x = 158,703,691.68
  5. Step 5: Solve for x
    x = 158,703,691.68/13,206.65
  6. Step 6: Final answer
    x = 12,016.96

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Similar ratio
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1.5x scale

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.