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Finding the Fourth Proportional to 18,461.88, 27,689.49 and 5,311.02

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Solution

The fourth proportional to 18,461.88, 27,689.49 and 5,311.02 is: 7,965.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,461.88 : 27,689.49 = 5,311.02 : x
  2. Step 2: Convert to fraction form
    18,461.88/27,689.49 = 5,311.02/x
  3. Step 3: Cross multiply
    18,461.88x = 27,689.49 × 5,311.02
  4. Step 4: Simplify right side
    18,461.88x = 147,059,435.18
  5. Step 5: Solve for x
    x = 147,059,435.18/18,461.88
  6. Step 6: Final answer
    x = 7,965.57

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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.