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Finding the Fourth Proportional to 7,023.67, 9,692.80 and 3,879.86

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Solution

The fourth proportional to 7,023.67, 9,692.80 and 3,879.86 is: 5,354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.67 : 9,692.80 = 3,879.86 : x
  2. Step 2: Convert to fraction form
    7,023.67/9,692.80 = 3,879.86/x
  3. Step 3: Cross multiply
    7,023.67x = 9,692.80 × 3,879.86
  4. Step 4: Simplify right side
    7,023.67x = 37,606,648.84
  5. Step 5: Solve for x
    x = 37,606,648.84/7,023.67
  6. Step 6: Final answer
    x = 5,354.28

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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.