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Finding the Fourth Proportional to 13,286.53, 19,892.88 and 6,692.72

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Solution

The fourth proportional to 13,286.53, 19,892.88 and 6,692.72 is: 10,020.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,286.53 : 19,892.88 = 6,692.72 : x
  2. Step 2: Convert to fraction form
    13,286.53/19,892.88 = 6,692.72/x
  3. Step 3: Cross multiply
    13,286.53x = 19,892.88 × 6,692.72
  4. Step 4: Simplify right side
    13,286.53x = 133,137,475.83
  5. Step 5: Solve for x
    x = 133,137,475.83/13,286.53
  6. Step 6: Final answer
    x = 10,020.49

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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.