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Finding the Fourth Proportional to 13,577.03, 20,353 and 9,418.99

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Solution

The fourth proportional to 13,577.03, 20,353 and 9,418.99 is: 14,119.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,577.03 : 20,353 = 9,418.99 : x
  2. Step 2: Convert to fraction form
    13,577.03/20,353 = 9,418.99/x
  3. Step 3: Cross multiply
    13,577.03x = 20,353 × 9,418.99
  4. Step 4: Simplify right side
    13,577.03x = 191,704,703.47
  5. Step 5: Solve for x
    x = 191,704,703.47/13,577.03
  6. Step 6: Final answer
    x = 14,119.78

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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.