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Finding the Fourth Proportional to 3,478.40, 4,800 and 1,906.46

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Solution

The fourth proportional to 3,478.40, 4,800 and 1,906.46 is: 2,630.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.40 : 4,800 = 1,906.46 : x
  2. Step 2: Convert to fraction form
    3,478.40/4,800 = 1,906.46/x
  3. Step 3: Cross multiply
    3,478.40x = 4,800 × 1,906.46
  4. Step 4: Simplify right side
    3,478.40x = 9,151,008
  5. Step 5: Solve for x
    x = 9,151,008/3,478.40
  6. Step 6: Final answer
    x = 2,630.81

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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.