Home / 3,219.42-4,829.64-1,027.64

Finding the Fourth Proportional to 3,219.42, 4,829.64 and 1,027.64

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Solution

The fourth proportional to 3,219.42, 4,829.64 and 1,027.64 is: 1,541.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.42 : 4,829.64 = 1,027.64 : x
  2. Step 2: Convert to fraction form
    3,219.42/4,829.64 = 1,027.64/x
  3. Step 3: Cross multiply
    3,219.42x = 4,829.64 × 1,027.64
  4. Step 4: Simplify right side
    3,219.42x = 4,963,131.25
  5. Step 5: Solve for x
    x = 4,963,131.25/3,219.42
  6. Step 6: Final answer
    x = 1,541.62

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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.