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Finding the Fourth Proportional to 13,369.86, 20,061.81 and 7,834.05

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Solution

The fourth proportional to 13,369.86, 20,061.81 and 7,834.05 is: 11,755.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,369.86 : 20,061.81 = 7,834.05 : x
  2. Step 2: Convert to fraction form
    13,369.86/20,061.81 = 7,834.05/x
  3. Step 3: Cross multiply
    13,369.86x = 20,061.81 × 7,834.05
  4. Step 4: Simplify right side
    13,369.86x = 157,165,222.63
  5. Step 5: Solve for x
    x = 157,165,222.63/13,369.86
  6. Step 6: Final answer
    x = 11,755.19

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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.