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Finding the Fourth Proportional to 13,864.10, 20,814.03 and 11,902.34

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Solution

The fourth proportional to 13,864.10, 20,814.03 and 11,902.34 is: 17,868.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,864.10 : 20,814.03 = 11,902.34 : x
  2. Step 2: Convert to fraction form
    13,864.10/20,814.03 = 11,902.34/x
  3. Step 3: Cross multiply
    13,864.10x = 20,814.03 × 11,902.34
  4. Step 4: Simplify right side
    13,864.10x = 247,735,661.83
  5. Step 5: Solve for x
    x = 247,735,661.83/13,864.10
  6. Step 6: Final answer
    x = 17,868.86

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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.