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Finding the Fourth Proportional to 3,203.77, 4,419 and 1,942.60

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Solution

The fourth proportional to 3,203.77, 4,419 and 1,942.60 is: 2,679.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.77 : 4,419 = 1,942.60 : x
  2. Step 2: Convert to fraction form
    3,203.77/4,419 = 1,942.60/x
  3. Step 3: Cross multiply
    3,203.77x = 4,419 × 1,942.60
  4. Step 4: Simplify right side
    3,203.77x = 8,584,349.40
  5. Step 5: Solve for x
    x = 8,584,349.40/3,203.77
  6. Step 6: Final answer
    x = 2,679.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.