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Finding the Fourth Proportional to 12,174.38, 16,801.14 and 6,869.19

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Solution

The fourth proportional to 12,174.38, 16,801.14 and 6,869.19 is: 9,479.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.38 : 16,801.14 = 6,869.19 : x
  2. Step 2: Convert to fraction form
    12,174.38/16,801.14 = 6,869.19/x
  3. Step 3: Cross multiply
    12,174.38x = 16,801.14 × 6,869.19
  4. Step 4: Simplify right side
    12,174.38x = 115,410,222.88
  5. Step 5: Solve for x
    x = 115,410,222.88/12,174.38
  6. Step 6: Final answer
    x = 9,479.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.