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Finding the Fourth Proportional to 3,219.64, 4,828.41 and 1,027.84

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Solution

The fourth proportional to 3,219.64, 4,828.41 and 1,027.84 is: 1,541.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.64 : 4,828.41 = 1,027.84 : x
  2. Step 2: Convert to fraction form
    3,219.64/4,828.41 = 1,027.84/x
  3. Step 3: Cross multiply
    3,219.64x = 4,828.41 × 1,027.84
  4. Step 4: Simplify right side
    3,219.64x = 4,962,832.93
  5. Step 5: Solve for x
    x = 4,962,832.93/3,219.64
  6. Step 6: Final answer
    x = 1,541.42

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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.