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Finding the Fourth Proportional to 7,023.38, 9,692.13 and 3,879.50

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Solution

The fourth proportional to 7,023.38, 9,692.13 and 3,879.50 is: 5,353.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.38 : 9,692.13 = 3,879.50 : x
  2. Step 2: Convert to fraction form
    7,023.38/9,692.13 = 3,879.50/x
  3. Step 3: Cross multiply
    7,023.38x = 9,692.13 × 3,879.50
  4. Step 4: Simplify right side
    7,023.38x = 37,600,618.34
  5. Step 5: Solve for x
    x = 37,600,618.34/7,023.38
  6. Step 6: Final answer
    x = 5,353.64

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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.