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Finding the Fourth Proportional to 3,431.78, 4,736.12 and 1,940.18

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Solution

The fourth proportional to 3,431.78, 4,736.12 and 1,940.18 is: 2,677.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.78 : 4,736.12 = 1,940.18 : x
  2. Step 2: Convert to fraction form
    3,431.78/4,736.12 = 1,940.18/x
  3. Step 3: Cross multiply
    3,431.78x = 4,736.12 × 1,940.18
  4. Step 4: Simplify right side
    3,431.78x = 9,188,925.30
  5. Step 5: Solve for x
    x = 9,188,925.30/3,431.78
  6. Step 6: Final answer
    x = 2,677.60

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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.