Home / 3,114.33-4,297.47-1,787.78

Finding the Fourth Proportional to 3,114.33, 4,297.47 and 1,787.78

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Solution

The fourth proportional to 3,114.33, 4,297.47 and 1,787.78 is: 2,466.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.33 : 4,297.47 = 1,787.78 : x
  2. Step 2: Convert to fraction form
    3,114.33/4,297.47 = 1,787.78/x
  3. Step 3: Cross multiply
    3,114.33x = 4,297.47 × 1,787.78
  4. Step 4: Simplify right side
    3,114.33x = 7,682,909.43
  5. Step 5: Solve for x
    x = 7,682,909.43/3,114.33
  6. Step 6: Final answer
    x = 2,466.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.