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Finding the Fourth Proportional to 13,869.65, 19,138.64 and 8,204.61

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Solution

The fourth proportional to 13,869.65, 19,138.64 and 8,204.61 is: 11,321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,869.65 : 19,138.64 = 8,204.61 : x
  2. Step 2: Convert to fraction form
    13,869.65/19,138.64 = 8,204.61/x
  3. Step 3: Cross multiply
    13,869.65x = 19,138.64 × 8,204.61
  4. Step 4: Simplify right side
    13,869.65x = 157,025,077.13
  5. Step 5: Solve for x
    x = 157,025,077.13/13,869.65
  6. Step 6: Final answer
    x = 11,321.49

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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.