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Finding the Fourth Proportional to 13,692.65, 18,896.36 and 7,724.57

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Solution

The fourth proportional to 13,692.65, 18,896.36 and 7,724.57 is: 10,660.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692.65 : 18,896.36 = 7,724.57 : x
  2. Step 2: Convert to fraction form
    13,692.65/18,896.36 = 7,724.57/x
  3. Step 3: Cross multiply
    13,692.65x = 18,896.36 × 7,724.57
  4. Step 4: Simplify right side
    13,692.65x = 145,966,122.46
  5. Step 5: Solve for x
    x = 145,966,122.46/13,692.65
  6. Step 6: Final answer
    x = 10,660.18

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1.5x scale

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.