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Finding the Fourth Proportional to 3,431.08, 5,146.14 and 1,091.08

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Solution

The fourth proportional to 3,431.08, 5,146.14 and 1,091.08 is: 1,636.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.08 : 5,146.14 = 1,091.08 : x
  2. Step 2: Convert to fraction form
    3,431.08/5,146.14 = 1,091.08/x
  3. Step 3: Cross multiply
    3,431.08x = 5,146.14 × 1,091.08
  4. Step 4: Simplify right side
    3,431.08x = 5,614,850.43
  5. Step 5: Solve for x
    x = 5,614,850.43/3,431.08
  6. Step 6: Final answer
    x = 1,636.47

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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.