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Finding the Fourth Proportional to 13,869.86, 20,782.86 and 11,260.04

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Solution

The fourth proportional to 13,869.86, 20,782.86 and 11,260.04 is: 16,872.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,869.86 : 20,782.86 = 11,260.04 : x
  2. Step 2: Convert to fraction form
    13,869.86/20,782.86 = 11,260.04/x
  3. Step 3: Cross multiply
    13,869.86x = 20,782.86 × 11,260.04
  4. Step 4: Simplify right side
    13,869.86x = 234,015,834.91
  5. Step 5: Solve for x
    x = 234,015,834.91/13,869.86
  6. Step 6: Final answer
    x = 16,872.26

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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.