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Finding the Fourth Proportional to 18,456.70, 27,689.04 and 5,977.98

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Solution

The fourth proportional to 18,456.70, 27,689.04 and 5,977.98 is: 8,968.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,456.70 : 27,689.04 = 5,977.98 : x
  2. Step 2: Convert to fraction form
    18,456.70/27,689.04 = 5,977.98/x
  3. Step 3: Cross multiply
    18,456.70x = 27,689.04 × 5,977.98
  4. Step 4: Simplify right side
    18,456.70x = 165,524,527.34
  5. Step 5: Solve for x
    x = 165,524,527.34/18,456.70
  6. Step 6: Final answer
    x = 8,968.26

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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.