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Finding the Fourth Proportional to 3,027.53, 4,179.74 and 1,981.41

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Solution

The fourth proportional to 3,027.53, 4,179.74 and 1,981.41 is: 2,735.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.53 : 4,179.74 = 1,981.41 : x
  2. Step 2: Convert to fraction form
    3,027.53/4,179.74 = 1,981.41/x
  3. Step 3: Cross multiply
    3,027.53x = 4,179.74 × 1,981.41
  4. Step 4: Simplify right side
    3,027.53x = 8,281,768.73
  5. Step 5: Solve for x
    x = 8,281,768.73/3,027.53
  6. Step 6: Final answer
    x = 2,735.49

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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.