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Finding the Fourth Proportional to 13,692.49, 18,896.52 and 7,721.98

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Solution

The fourth proportional to 13,692.49, 18,896.52 and 7,721.98 is: 10,656.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692.49 : 18,896.52 = 7,721.98 : x
  2. Step 2: Convert to fraction form
    13,692.49/18,896.52 = 7,721.98/x
  3. Step 3: Cross multiply
    13,692.49x = 18,896.52 × 7,721.98
  4. Step 4: Simplify right side
    13,692.49x = 145,918,572.36
  5. Step 5: Solve for x
    x = 145,918,572.36/13,692.49
  6. Step 6: Final answer
    x = 10,656.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.