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Finding the Fourth Proportional to 8,692.50, 13,034.43 and 3,496.98

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Solution

The fourth proportional to 8,692.50, 13,034.43 and 3,496.98 is: 5,243.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.50 : 13,034.43 = 3,496.98 : x
  2. Step 2: Convert to fraction form
    8,692.50/13,034.43 = 3,496.98/x
  3. Step 3: Cross multiply
    8,692.50x = 13,034.43 × 3,496.98
  4. Step 4: Simplify right side
    8,692.50x = 45,581,141.02
  5. Step 5: Solve for x
    x = 45,581,141.02/8,692.50
  6. Step 6: Final answer
    x = 5,243.73

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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.