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Finding the Fourth Proportional to 18,664.85, 27,988.16 and 8,143.76

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Solution

The fourth proportional to 18,664.85, 27,988.16 and 8,143.76 is: 12,211.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,664.85 : 27,988.16 = 8,143.76 : x
  2. Step 2: Convert to fraction form
    18,664.85/27,988.16 = 8,143.76/x
  3. Step 3: Cross multiply
    18,664.85x = 27,988.16 × 8,143.76
  4. Step 4: Simplify right side
    18,664.85x = 227,928,887.13
  5. Step 5: Solve for x
    x = 227,928,887.13/18,664.85
  6. Step 6: Final answer
    x = 12,211.66

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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.