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Finding the Fourth Proportional to 3,198.51, 4,800.74 and 1,639.63

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Solution

The fourth proportional to 3,198.51, 4,800.74 and 1,639.63 is: 2,460.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.51 : 4,800.74 = 1,639.63 : x
  2. Step 2: Convert to fraction form
    3,198.51/4,800.74 = 1,639.63/x
  3. Step 3: Cross multiply
    3,198.51x = 4,800.74 × 1,639.63
  4. Step 4: Simplify right side
    3,198.51x = 7,871,437.33
  5. Step 5: Solve for x
    x = 7,871,437.33/3,198.51
  6. Step 6: Final answer
    x = 2,460.97

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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.