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Finding the Fourth Proportional to 3,478.14, 4,799.88 and 1,906.20

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Solution

The fourth proportional to 3,478.14, 4,799.88 and 1,906.20 is: 2,630.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.14 : 4,799.88 = 1,906.20 : x
  2. Step 2: Convert to fraction form
    3,478.14/4,799.88 = 1,906.20/x
  3. Step 3: Cross multiply
    3,478.14x = 4,799.88 × 1,906.20
  4. Step 4: Simplify right side
    3,478.14x = 9,149,531.26
  5. Step 5: Solve for x
    x = 9,149,531.26/3,478.14
  6. Step 6: Final answer
    x = 2,630.58

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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.