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Finding the Fourth Proportional to 13,692.10, 20,522.15 and 12,135.14

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Solution

The fourth proportional to 13,692.10, 20,522.15 and 12,135.14 is: 18,188.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692.10 : 20,522.15 = 12,135.14 : x
  2. Step 2: Convert to fraction form
    13,692.10/20,522.15 = 12,135.14/x
  3. Step 3: Cross multiply
    13,692.10x = 20,522.15 × 12,135.14
  4. Step 4: Simplify right side
    13,692.10x = 249,039,153.98
  5. Step 5: Solve for x
    x = 249,039,153.98/13,692.10
  6. Step 6: Final answer
    x = 18,188.53

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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.