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Finding the Fourth Proportional to 36,821, 55,232.07 and 9,119

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Solution

The fourth proportional to 36,821, 55,232.07 and 9,119 is: 13,678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,821 : 55,232.07 = 9,119 : x
  2. Step 2: Convert to fraction form
    36,821/55,232.07 = 9,119/x
  3. Step 3: Cross multiply
    36,821x = 55,232.07 × 9,119
  4. Step 4: Simplify right side
    36,821x = 503,661,246.33
  5. Step 5: Solve for x
    x = 503,661,246.33/36,821
  6. Step 6: Final answer
    x = 13,678.64

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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.