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Finding the Fourth Proportional to 9,692.22, 13,387.77 and 8,020.38

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Solution

The fourth proportional to 9,692.22, 13,387.77 and 8,020.38 is: 11,078.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.22 : 13,387.77 = 8,020.38 : x
  2. Step 2: Convert to fraction form
    9,692.22/13,387.77 = 8,020.38/x
  3. Step 3: Cross multiply
    9,692.22x = 13,387.77 × 8,020.38
  4. Step 4: Simplify right side
    9,692.22x = 107,375,002.75
  5. Step 5: Solve for x
    x = 107,375,002.75/9,692.22
  6. Step 6: Final answer
    x = 11,078.47

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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.