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Finding the Fourth Proportional to 3,981.49, 5,970.04 and 1,902.02

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Solution

The fourth proportional to 3,981.49, 5,970.04 and 1,902.02 is: 2,851.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.49 : 5,970.04 = 1,902.02 : x
  2. Step 2: Convert to fraction form
    3,981.49/5,970.04 = 1,902.02/x
  3. Step 3: Cross multiply
    3,981.49x = 5,970.04 × 1,902.02
  4. Step 4: Simplify right side
    3,981.49x = 11,355,100.88
  5. Step 5: Solve for x
    x = 11,355,100.88/3,981.49
  6. Step 6: Final answer
    x = 2,851.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.