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Finding the Fourth Proportional to 3,397.80, 4,689.15 and 1,906.19

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Solution

The fourth proportional to 3,397.80, 4,689.15 and 1,906.19 is: 2,630.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.80 : 4,689.15 = 1,906.19 : x
  2. Step 2: Convert to fraction form
    3,397.80/4,689.15 = 1,906.19/x
  3. Step 3: Cross multiply
    3,397.80x = 4,689.15 × 1,906.19
  4. Step 4: Simplify right side
    3,397.80x = 8,938,410.84
  5. Step 5: Solve for x
    x = 8,938,410.84/3,397.80
  6. Step 6: Final answer
    x = 2,630.65

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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.