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Finding the Fourth Proportional to 18,127.88, 27,186.06 and 5,813

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Solution

The fourth proportional to 18,127.88, 27,186.06 and 5,813 is: 8,717.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,127.88 : 27,186.06 = 5,813 : x
  2. Step 2: Convert to fraction form
    18,127.88/27,186.06 = 5,813/x
  3. Step 3: Cross multiply
    18,127.88x = 27,186.06 × 5,813
  4. Step 4: Simplify right side
    18,127.88x = 158,032,566.78
  5. Step 5: Solve for x
    x = 158,032,566.78/18,127.88
  6. Step 6: Final answer
    x = 8,717.65

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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.