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Finding the Fourth Proportional to 11,763.69, 17,641.81 and 3,864.90

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Solution

The fourth proportional to 11,763.69, 17,641.81 and 3,864.90 is: 5,796.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.69 : 17,641.81 = 3,864.90 : x
  2. Step 2: Convert to fraction form
    11,763.69/17,641.81 = 3,864.90/x
  3. Step 3: Cross multiply
    11,763.69x = 17,641.81 × 3,864.90
  4. Step 4: Simplify right side
    11,763.69x = 68,183,902.46
  5. Step 5: Solve for x
    x = 68,183,902.46/11,763.69
  6. Step 6: Final answer
    x = 5,796.13

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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.