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Finding the Fourth Proportional to 36,814, 55,221.54 and 9,112

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Solution

The fourth proportional to 36,814, 55,221.54 and 9,112 is: 13,668.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,814 : 55,221.54 = 9,112 : x
  2. Step 2: Convert to fraction form
    36,814/55,221.54 = 9,112/x
  3. Step 3: Cross multiply
    36,814x = 55,221.54 × 9,112
  4. Step 4: Simplify right side
    36,814x = 503,178,672.48
  5. Step 5: Solve for x
    x = 503,178,672.48/36,814
  6. Step 6: Final answer
    x = 13,668.13

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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.