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Finding the Fourth Proportional to 3,478, 4,799.70 and 1,906

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Solution

The fourth proportional to 3,478, 4,799.70 and 1,906 is: 2,630.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478 : 4,799.70 = 1,906 : x
  2. Step 2: Convert to fraction form
    3,478/4,799.70 = 1,906/x
  3. Step 3: Cross multiply
    3,478x = 4,799.70 × 1,906
  4. Step 4: Simplify right side
    3,478x = 9,148,228.20
  5. Step 5: Solve for x
    x = 9,148,228.20/3,478
  6. Step 6: Final answer
    x = 2,630.31

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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.