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Finding the Fourth Proportional to 3,763.90, 5,640.58 and 3,205.70

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Solution

The fourth proportional to 3,763.90, 5,640.58 and 3,205.70 is: 4,804.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.90 : 5,640.58 = 3,205.70 : x
  2. Step 2: Convert to fraction form
    3,763.90/5,640.58 = 3,205.70/x
  3. Step 3: Cross multiply
    3,763.90x = 5,640.58 × 3,205.70
  4. Step 4: Simplify right side
    3,763.90x = 18,081,991.28
  5. Step 5: Solve for x
    x = 18,081,991.28/3,763.90
  6. Step 6: Final answer
    x = 4,804.06

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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.