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Finding the Fourth Proportional to 8,135.40, 12,203.40 and 3,206.04

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Solution

The fourth proportional to 8,135.40, 12,203.40 and 3,206.04 is: 4,809.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.40 : 12,203.40 = 3,206.04 : x
  2. Step 2: Convert to fraction form
    8,135.40/12,203.40 = 3,206.04/x
  3. Step 3: Cross multiply
    8,135.40x = 12,203.40 × 3,206.04
  4. Step 4: Simplify right side
    8,135.40x = 39,124,588.54
  5. Step 5: Solve for x
    x = 39,124,588.54/8,135.40
  6. Step 6: Final answer
    x = 4,809.18

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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.