Home / 3,164.52-4,742.73-1,314.48

Finding the Fourth Proportional to 3,164.52, 4,742.73 and 1,314.48

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Solution

The fourth proportional to 3,164.52, 4,742.73 and 1,314.48 is: 1,970.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.52 : 4,742.73 = 1,314.48 : x
  2. Step 2: Convert to fraction form
    3,164.52/4,742.73 = 1,314.48/x
  3. Step 3: Cross multiply
    3,164.52x = 4,742.73 × 1,314.48
  4. Step 4: Simplify right side
    3,164.52x = 6,234,223.73
  5. Step 5: Solve for x
    x = 6,234,223.73/3,164.52
  6. Step 6: Final answer
    x = 1,970.04

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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.