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Finding the Fourth Proportional to 8,201.80, 12,302.70 and 5,577.40

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Solution

The fourth proportional to 8,201.80, 12,302.70 and 5,577.40 is: 8,366.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.80 : 12,302.70 = 5,577.40 : x
  2. Step 2: Convert to fraction form
    8,201.80/12,302.70 = 5,577.40/x
  3. Step 3: Cross multiply
    8,201.80x = 12,302.70 × 5,577.40
  4. Step 4: Simplify right side
    8,201.80x = 68,617,078.98
  5. Step 5: Solve for x
    x = 68,617,078.98/8,201.80
  6. Step 6: Final answer
    x = 8,366.10

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Half scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.