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Finding the Fourth Proportional to 7,692.80, 11,538.60 and 3,011.90

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Solution

The fourth proportional to 7,692.80, 11,538.60 and 3,011.90 is: 4,517.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.80 : 11,538.60 = 3,011.90 : x
  2. Step 2: Convert to fraction form
    7,692.80/11,538.60 = 3,011.90/x
  3. Step 3: Cross multiply
    7,692.80x = 11,538.60 × 3,011.90
  4. Step 4: Simplify right side
    7,692.80x = 34,753,109.34
  5. Step 5: Solve for x
    x = 34,753,109.34/7,692.80
  6. Step 6: Final answer
    x = 4,517.62

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1.5x scale

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.