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Finding the Fourth Proportional to 11,809.96, 17,715.86 and 4,786.65

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Solution

The fourth proportional to 11,809.96, 17,715.86 and 4,786.65 is: 7,180.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.96 : 17,715.86 = 4,786.65 : x
  2. Step 2: Convert to fraction form
    11,809.96/17,715.86 = 4,786.65/x
  3. Step 3: Cross multiply
    11,809.96x = 17,715.86 × 4,786.65
  4. Step 4: Simplify right side
    11,809.96x = 84,799,621.27
  5. Step 5: Solve for x
    x = 84,799,621.27/11,809.96
  6. Step 6: Final answer
    x = 7,180.35

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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.