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Finding the Fourth Proportional to 3,203.59, 4,809.48 and 1,743.77

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Solution

The fourth proportional to 3,203.59, 4,809.48 and 1,743.77 is: 2,617.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.59 : 4,809.48 = 1,743.77 : x
  2. Step 2: Convert to fraction form
    3,203.59/4,809.48 = 1,743.77/x
  3. Step 3: Cross multiply
    3,203.59x = 4,809.48 × 1,743.77
  4. Step 4: Simplify right side
    3,203.59x = 8,386,626.94
  5. Step 5: Solve for x
    x = 8,386,626.94/3,203.59
  6. Step 6: Final answer
    x = 2,617.88

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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.