Home / 2,138.16-3,203.12-1,314.04

Finding the Fourth Proportional to 2,138.16, 3,203.12 and 1,314.04

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Solution

The fourth proportional to 2,138.16, 3,203.12 and 1,314.04 is: 1,968.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.16 : 3,203.12 = 1,314.04 : x
  2. Step 2: Convert to fraction form
    2,138.16/3,203.12 = 1,314.04/x
  3. Step 3: Cross multiply
    2,138.16x = 3,203.12 × 1,314.04
  4. Step 4: Simplify right side
    2,138.16x = 4,209,027.80
  5. Step 5: Solve for x
    x = 4,209,027.80/2,138.16
  6. Step 6: Final answer
    x = 1,968.53

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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.