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Finding the Fourth Proportional to 3,198.16, 4,799.16 and 1,146.32

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Solution

The fourth proportional to 3,198.16, 4,799.16 and 1,146.32 is: 1,720.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.16 : 4,799.16 = 1,146.32 : x
  2. Step 2: Convert to fraction form
    3,198.16/4,799.16 = 1,146.32/x
  3. Step 3: Cross multiply
    3,198.16x = 4,799.16 × 1,146.32
  4. Step 4: Simplify right side
    3,198.16x = 5,501,373.09
  5. Step 5: Solve for x
    x = 5,501,373.09/3,198.16
  6. Step 6: Final answer
    x = 1,720.17

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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.