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Finding the Fourth Proportional to 20,463, 28,252.50 and 13,401.96

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Solution

The fourth proportional to 20,463, 28,252.50 and 13,401.96 is: 18,503.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,463 : 28,252.50 = 13,401.96 : x
  2. Step 2: Convert to fraction form
    20,463/28,252.50 = 13,401.96/x
  3. Step 3: Cross multiply
    20,463x = 28,252.50 × 13,401.96
  4. Step 4: Simplify right side
    20,463x = 378,638,874.90
  5. Step 5: Solve for x
    x = 378,638,874.90/20,463
  6. Step 6: Final answer
    x = 18,503.59

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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.