Home / 3,164.64-4,744.08-1,432.56

Finding the Fourth Proportional to 3,164.64, 4,744.08 and 1,432.56

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Solution

The fourth proportional to 3,164.64, 4,744.08 and 1,432.56 is: 2,147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.64 : 4,744.08 = 1,432.56 : x
  2. Step 2: Convert to fraction form
    3,164.64/4,744.08 = 1,432.56/x
  3. Step 3: Cross multiply
    3,164.64x = 4,744.08 × 1,432.56
  4. Step 4: Simplify right side
    3,164.64x = 6,796,179.24
  5. Step 5: Solve for x
    x = 6,796,179.24/3,164.64
  6. Step 6: Final answer
    x = 2,147.54

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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.