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Finding the Fourth Proportional to 41,109, 61,663.50 and 13,407

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Solution

The fourth proportional to 41,109, 61,663.50 and 13,407 is: 20,110.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,109 : 61,663.50 = 13,407 : x
  2. Step 2: Convert to fraction form
    41,109/61,663.50 = 13,407/x
  3. Step 3: Cross multiply
    41,109x = 61,663.50 × 13,407
  4. Step 4: Simplify right side
    41,109x = 826,722,544.50
  5. Step 5: Solve for x
    x = 826,722,544.50/41,109
  6. Step 6: Final answer
    x = 20,110.50

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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.