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Finding the Fourth Proportional to 3,398.64, 4,690.14 and 1,906.47

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Solution

The fourth proportional to 3,398.64, 4,690.14 and 1,906.47 is: 2,630.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.64 : 4,690.14 = 1,906.47 : x
  2. Step 2: Convert to fraction form
    3,398.64/4,690.14 = 1,906.47/x
  3. Step 3: Cross multiply
    3,398.64x = 4,690.14 × 1,906.47
  4. Step 4: Simplify right side
    3,398.64x = 8,941,611.21
  5. Step 5: Solve for x
    x = 8,941,611.21/3,398.64
  6. Step 6: Final answer
    x = 2,630.94

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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.