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Finding the Fourth Proportional to 7,692.30, 11,519.94 and 5,219.64

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Solution

The fourth proportional to 7,692.30, 11,519.94 and 5,219.64 is: 7,816.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.30 : 11,519.94 = 5,219.64 : x
  2. Step 2: Convert to fraction form
    7,692.30/11,519.94 = 5,219.64/x
  3. Step 3: Cross multiply
    7,692.30x = 11,519.94 × 5,219.64
  4. Step 4: Simplify right side
    7,692.30x = 60,129,939.62
  5. Step 5: Solve for x
    x = 60,129,939.62/7,692.30
  6. Step 6: Final answer
    x = 7,816.90

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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.