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Finding the Fourth Proportional to 27,930.40, 41,872 and 12,123.48

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Solution

The fourth proportional to 27,930.40, 41,872 and 12,123.48 is: 18,174.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,930.40 : 41,872 = 12,123.48 : x
  2. Step 2: Convert to fraction form
    27,930.40/41,872 = 12,123.48/x
  3. Step 3: Cross multiply
    27,930.40x = 41,872 × 12,123.48
  4. Step 4: Simplify right side
    27,930.40x = 507,634,354.56
  5. Step 5: Solve for x
    x = 507,634,354.56/27,930.40
  6. Step 6: Final answer
    x = 18,174.98

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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.