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Finding the Fourth Proportional to 7,023.80, 9,692.16 and 3,879.20

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Solution

The fourth proportional to 7,023.80, 9,692.16 and 3,879.20 is: 5,352.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.80 : 9,692.16 = 3,879.20 : x
  2. Step 2: Convert to fraction form
    7,023.80/9,692.16 = 3,879.20/x
  3. Step 3: Cross multiply
    7,023.80x = 9,692.16 × 3,879.20
  4. Step 4: Simplify right side
    7,023.80x = 37,597,827.07
  5. Step 5: Solve for x
    x = 37,597,827.07/7,023.80
  6. Step 6: Final answer
    x = 5,352.92

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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.