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Finding the Fourth Proportional to 18,461.04, 27,711 and 8,609.82

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Solution

The fourth proportional to 18,461.04, 27,711 and 8,609.82 is: 12,923.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,461.04 : 27,711 = 8,609.82 : x
  2. Step 2: Convert to fraction form
    18,461.04/27,711 = 8,609.82/x
  3. Step 3: Cross multiply
    18,461.04x = 27,711 × 8,609.82
  4. Step 4: Simplify right side
    18,461.04x = 238,586,722.02
  5. Step 5: Solve for x
    x = 238,586,722.02/18,461.04
  6. Step 6: Final answer
    x = 12,923.80

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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.