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Finding the Fourth Proportional to 15,100, 20,838 and 8,812.42

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Solution

The fourth proportional to 15,100, 20,838 and 8,812.42 is: 12,161.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,100 : 20,838 = 8,812.42 : x
  2. Step 2: Convert to fraction form
    15,100/20,838 = 8,812.42/x
  3. Step 3: Cross multiply
    15,100x = 20,838 × 8,812.42
  4. Step 4: Simplify right side
    15,100x = 183,633,207.96
  5. Step 5: Solve for x
    x = 183,633,207.96/15,100
  6. Step 6: Final answer
    x = 12,161.14

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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.