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Finding the Fourth Proportional to 2,204, 3,041.64 and 1,272.80

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Solution

The fourth proportional to 2,204, 3,041.64 and 1,272.80 is: 1,756.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204 : 3,041.64 = 1,272.80 : x
  2. Step 2: Convert to fraction form
    2,204/3,041.64 = 1,272.80/x
  3. Step 3: Cross multiply
    2,204x = 3,041.64 × 1,272.80
  4. Step 4: Simplify right side
    2,204x = 3,871,399.39
  5. Step 5: Solve for x
    x = 3,871,399.39/2,204
  6. Step 6: Final answer
    x = 1,756.53

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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.