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Finding the Fourth Proportional to 9,197.82, 12,692.48 and 5,220.22

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Solution

The fourth proportional to 9,197.82, 12,692.48 and 5,220.22 is: 7,203.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.82 : 12,692.48 = 5,220.22 : x
  2. Step 2: Convert to fraction form
    9,197.82/12,692.48 = 5,220.22/x
  3. Step 3: Cross multiply
    9,197.82x = 12,692.48 × 5,220.22
  4. Step 4: Simplify right side
    9,197.82x = 66,257,537.95
  5. Step 5: Solve for x
    x = 66,257,537.95/9,197.82
  6. Step 6: Final answer
    x = 7,203.61

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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.