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Finding the Fourth Proportional to 36,788, 55,182.16 and 9,086

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Solution

The fourth proportional to 36,788, 55,182.16 and 9,086 is: 13,629.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,788 : 55,182.16 = 9,086 : x
  2. Step 2: Convert to fraction form
    36,788/55,182.16 = 9,086/x
  3. Step 3: Cross multiply
    36,788x = 55,182.16 × 9,086
  4. Step 4: Simplify right side
    36,788x = 501,385,105.76
  5. Step 5: Solve for x
    x = 501,385,105.76/36,788
  6. Step 6: Final answer
    x = 13,629.04

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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.