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Finding the Fourth Proportional to 3,198.95, 4,414.87 and 1,782.87

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Solution

The fourth proportional to 3,198.95, 4,414.87 and 1,782.87 is: 2,460.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.95 : 4,414.87 = 1,782.87 : x
  2. Step 2: Convert to fraction form
    3,198.95/4,414.87 = 1,782.87/x
  3. Step 3: Cross multiply
    3,198.95x = 4,414.87 × 1,782.87
  4. Step 4: Simplify right side
    3,198.95x = 7,871,124.95
  5. Step 5: Solve for x
    x = 7,871,124.95/3,198.95
  6. Step 6: Final answer
    x = 2,460.53

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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.