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Finding the Fourth Proportional to 36,813, 55,220.04 and 9,111

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Solution

The fourth proportional to 36,813, 55,220.04 and 9,111 is: 13,666.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,813 : 55,220.04 = 9,111 : x
  2. Step 2: Convert to fraction form
    36,813/55,220.04 = 9,111/x
  3. Step 3: Cross multiply
    36,813x = 55,220.04 × 9,111
  4. Step 4: Simplify right side
    36,813x = 503,109,784.44
  5. Step 5: Solve for x
    x = 503,109,784.44/36,813
  6. Step 6: Final answer
    x = 13,666.63

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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.