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Finding the Fourth Proportional to 9,692.87, 13,356.43 and 9,169.88

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Solution

The fourth proportional to 9,692.87, 13,356.43 and 9,169.88 is: 12,635.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.87 : 13,356.43 = 9,169.88 : x
  2. Step 2: Convert to fraction form
    9,692.87/13,356.43 = 9,169.88/x
  3. Step 3: Cross multiply
    9,692.87x = 13,356.43 × 9,169.88
  4. Step 4: Simplify right side
    9,692.87x = 122,476,770.62
  5. Step 5: Solve for x
    x = 122,476,770.62/9,692.87
  6. Step 6: Final answer
    x = 12,635.77

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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.