Home / 2,138.04-3,206.70-676.86

Finding the Fourth Proportional to 2,138.04, 3,206.70 and 676.86

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Solution

The fourth proportional to 2,138.04, 3,206.70 and 676.86 is: 1,015.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.04 : 3,206.70 = 676.86 : x
  2. Step 2: Convert to fraction form
    2,138.04/3,206.70 = 676.86/x
  3. Step 3: Cross multiply
    2,138.04x = 3,206.70 × 676.86
  4. Step 4: Simplify right side
    2,138.04x = 2,170,486.96
  5. Step 5: Solve for x
    x = 2,170,486.96/2,138.04
  6. Step 6: Final answer
    x = 1,015.18

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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.