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Finding the Fourth Proportional to 36,787, 55,180.66 and 9,085

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Solution

The fourth proportional to 36,787, 55,180.66 and 9,085 is: 13,627.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,787 : 55,180.66 = 9,085 : x
  2. Step 2: Convert to fraction form
    36,787/55,180.66 = 9,085/x
  3. Step 3: Cross multiply
    36,787x = 55,180.66 × 9,085
  4. Step 4: Simplify right side
    36,787x = 501,316,296.10
  5. Step 5: Solve for x
    x = 501,316,296.10/36,787
  6. Step 6: Final answer
    x = 13,627.54

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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.