Home / 3,106.90-4,660.28-1,462.54

Finding the Fourth Proportional to 3,106.90, 4,660.28 and 1,462.54

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Solution

The fourth proportional to 3,106.90, 4,660.28 and 1,462.54 is: 2,193.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.90 : 4,660.28 = 1,462.54 : x
  2. Step 2: Convert to fraction form
    3,106.90/4,660.28 = 1,462.54/x
  3. Step 3: Cross multiply
    3,106.90x = 4,660.28 × 1,462.54
  4. Step 4: Simplify right side
    3,106.90x = 6,815,845.91
  5. Step 5: Solve for x
    x = 6,815,845.91/3,106.90
  6. Step 6: Final answer
    x = 2,193.78

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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.