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Finding the Fourth Proportional to 7,023.38, 9,692.46 and 3,879.77

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Solution

The fourth proportional to 7,023.38, 9,692.46 and 3,879.77 is: 5,354.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.38 : 9,692.46 = 3,879.77 : x
  2. Step 2: Convert to fraction form
    7,023.38/9,692.46 = 3,879.77/x
  3. Step 3: Cross multiply
    7,023.38x = 9,692.46 × 3,879.77
  4. Step 4: Simplify right side
    7,023.38x = 37,604,467.07
  5. Step 5: Solve for x
    x = 37,604,467.07/7,023.38
  6. Step 6: Final answer
    x = 5,354.19

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1.5x scale

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.