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Finding the Fourth Proportional to 41,978, 57,929.64 and 23,115.08

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Solution

The fourth proportional to 41,978, 57,929.64 and 23,115.08 is: 31,898.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,978 : 57,929.64 = 23,115.08 : x
  2. Step 2: Convert to fraction form
    41,978/57,929.64 = 23,115.08/x
  3. Step 3: Cross multiply
    41,978x = 57,929.64 × 23,115.08
  4. Step 4: Simplify right side
    41,978x = 1,339,048,262.97
  5. Step 5: Solve for x
    x = 1,339,048,262.97/41,978
  6. Step 6: Final answer
    x = 31,898.81

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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.