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Finding the Fourth Proportional to 13,692.88, 20,540.10 and 4,333.16

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Solution

The fourth proportional to 13,692.88, 20,540.10 and 4,333.16 is: 6,499.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692.88 : 20,540.10 = 4,333.16 : x
  2. Step 2: Convert to fraction form
    13,692.88/20,540.10 = 4,333.16/x
  3. Step 3: Cross multiply
    13,692.88x = 20,540.10 × 4,333.16
  4. Step 4: Simplify right side
    13,692.88x = 89,003,539.72
  5. Step 5: Solve for x
    x = 89,003,539.72/13,692.88
  6. Step 6: Final answer
    x = 6,499.99

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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.