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Finding the Fourth Proportional to 7,023.24, 9,692.10 and 3,879.45

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Solution

The fourth proportional to 7,023.24, 9,692.10 and 3,879.45 is: 5,353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.24 : 9,692.10 = 3,879.45 : x
  2. Step 2: Convert to fraction form
    7,023.24/9,692.10 = 3,879.45/x
  3. Step 3: Cross multiply
    7,023.24x = 9,692.10 × 3,879.45
  4. Step 4: Simplify right side
    7,023.24x = 37,600,017.35
  5. Step 5: Solve for x
    x = 37,600,017.35/7,023.24
  6. Step 6: Final answer
    x = 5,353.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.