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Finding the Fourth Proportional to 13,644.97, 20,443.11 and 7,401

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Solution

The fourth proportional to 13,644.97, 20,443.11 and 7,401 is: 11,088.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.97 : 20,443.11 = 7,401 : x
  2. Step 2: Convert to fraction form
    13,644.97/20,443.11 = 7,401/x
  3. Step 3: Cross multiply
    13,644.97x = 20,443.11 × 7,401
  4. Step 4: Simplify right side
    13,644.97x = 151,299,457.11
  5. Step 5: Solve for x
    x = 151,299,457.11/13,644.97
  6. Step 6: Final answer
    x = 11,088.30

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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.