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Finding the Fourth Proportional to 13,692.69, 18,896.79 and 7,724.23

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Solution

The fourth proportional to 13,692.69, 18,896.79 and 7,724.23 is: 10,659.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692.69 : 18,896.79 = 7,724.23 : x
  2. Step 2: Convert to fraction form
    13,692.69/18,896.79 = 7,724.23/x
  3. Step 3: Cross multiply
    13,692.69x = 18,896.79 × 7,724.23
  4. Step 4: Simplify right side
    13,692.69x = 145,963,152.22
  5. Step 5: Solve for x
    x = 145,963,152.22/13,692.69
  6. Step 6: Final answer
    x = 10,659.93

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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.