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Finding the Fourth Proportional to 18,644.86, 27,977.01 and 7,559.74

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Solution

The fourth proportional to 18,644.86, 27,977.01 and 7,559.74 is: 11,343.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,644.86 : 27,977.01 = 7,559.74 : x
  2. Step 2: Convert to fraction form
    18,644.86/27,977.01 = 7,559.74/x
  3. Step 3: Cross multiply
    18,644.86x = 27,977.01 × 7,559.74
  4. Step 4: Simplify right side
    18,644.86x = 211,498,781.69
  5. Step 5: Solve for x
    x = 211,498,781.69/18,644.86
  6. Step 6: Final answer
    x = 11,343.55

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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.