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Finding the Fourth Proportional to 8,135.80, 12,203.70 and 3,202.76

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Solution

The fourth proportional to 8,135.80, 12,203.70 and 3,202.76 is: 4,804.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.80 : 12,203.70 = 3,202.76 : x
  2. Step 2: Convert to fraction form
    8,135.80/12,203.70 = 3,202.76/x
  3. Step 3: Cross multiply
    8,135.80x = 12,203.70 × 3,202.76
  4. Step 4: Simplify right side
    8,135.80x = 39,085,522.21
  5. Step 5: Solve for x
    x = 39,085,522.21/8,135.80
  6. Step 6: Final answer
    x = 4,804.14

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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.