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Finding the Fourth Proportional to 41,086, 61,633.86 and 13,384

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Solution

The fourth proportional to 41,086, 61,633.86 and 13,384 is: 20,077.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,086 : 61,633.86 = 13,384 : x
  2. Step 2: Convert to fraction form
    41,086/61,633.86 = 13,384/x
  3. Step 3: Cross multiply
    41,086x = 61,633.86 × 13,384
  4. Step 4: Simplify right side
    41,086x = 824,907,582.24
  5. Step 5: Solve for x
    x = 824,907,582.24/41,086
  6. Step 6: Final answer
    x = 20,077.58

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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.