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Finding the Fourth Proportional to 7,023.64, 9,692.61 and 3,879.82

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Solution

The fourth proportional to 7,023.64, 9,692.61 and 3,879.82 is: 5,354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.64 : 9,692.61 = 3,879.82 : x
  2. Step 2: Convert to fraction form
    7,023.64/9,692.61 = 3,879.82/x
  3. Step 3: Cross multiply
    7,023.64x = 9,692.61 × 3,879.82
  4. Step 4: Simplify right side
    7,023.64x = 37,605,582.13
  5. Step 5: Solve for x
    x = 37,605,582.13/7,023.64
  6. Step 6: Final answer
    x = 5,354.14

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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.