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Finding the Fourth Proportional to 7,692.40, 11,542.20 and 3,998.80

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Solution

The fourth proportional to 7,692.40, 11,542.20 and 3,998.80 is: 6,000.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.40 : 11,542.20 = 3,998.80 : x
  2. Step 2: Convert to fraction form
    7,692.40/11,542.20 = 3,998.80/x
  3. Step 3: Cross multiply
    7,692.40x = 11,542.20 × 3,998.80
  4. Step 4: Simplify right side
    7,692.40x = 46,154,949.36
  5. Step 5: Solve for x
    x = 46,154,949.36/7,692.40
  6. Step 6: Final answer
    x = 6,000.07

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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.