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Finding the Fourth Proportional to 11,765, 17,646.99 and 2,999.65

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Solution

The fourth proportional to 11,765, 17,646.99 and 2,999.65 is: 4,499.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765 : 17,646.99 = 2,999.65 : x
  2. Step 2: Convert to fraction form
    11,765/17,646.99 = 2,999.65/x
  3. Step 3: Cross multiply
    11,765x = 17,646.99 × 2,999.65
  4. Step 4: Simplify right side
    11,765x = 52,934,793.55
  5. Step 5: Solve for x
    x = 52,934,793.55/11,765
  6. Step 6: Final answer
    x = 4,499.34

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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.