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Finding the Fourth Proportional to 18,648.68, 27,977.88 and 6,962

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Solution

The fourth proportional to 18,648.68, 27,977.88 and 6,962 is: 10,444.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,648.68 : 27,977.88 = 6,962 : x
  2. Step 2: Convert to fraction form
    18,648.68/27,977.88 = 6,962/x
  3. Step 3: Cross multiply
    18,648.68x = 27,977.88 × 6,962
  4. Step 4: Simplify right side
    18,648.68x = 194,782,000.56
  5. Step 5: Solve for x
    x = 194,782,000.56/18,648.68
  6. Step 6: Final answer
    x = 10,444.81

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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.