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Finding the Fourth Proportional to 13,401, 20,102.94 and 6,008.76

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Solution

The fourth proportional to 13,401, 20,102.94 and 6,008.76 is: 9,013.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,401 : 20,102.94 = 6,008.76 : x
  2. Step 2: Convert to fraction form
    13,401/20,102.94 = 6,008.76/x
  3. Step 3: Cross multiply
    13,401x = 20,102.94 × 6,008.76
  4. Step 4: Simplify right side
    13,401x = 120,793,741.75
  5. Step 5: Solve for x
    x = 120,793,741.75/13,401
  6. Step 6: Final answer
    x = 9,013.79

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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.