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Finding the Fourth Proportional to 13,402.40, 20,125.20 and 10,119.20

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Solution

The fourth proportional to 13,402.40, 20,125.20 and 10,119.20 is: 15,195.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.40 : 20,125.20 = 10,119.20 : x
  2. Step 2: Convert to fraction form
    13,402.40/20,125.20 = 10,119.20/x
  3. Step 3: Cross multiply
    13,402.40x = 20,125.20 × 10,119.20
  4. Step 4: Simplify right side
    13,402.40x = 203,650,923.84
  5. Step 5: Solve for x
    x = 203,650,923.84/13,402.40
  6. Step 6: Final answer
    x = 15,195.11

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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.