Home / 3,114-4,297.28-1,787.91

Finding the Fourth Proportional to 3,114, 4,297.28 and 1,787.91

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Solution

The fourth proportional to 3,114, 4,297.28 and 1,787.91 is: 2,467.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114 : 4,297.28 = 1,787.91 : x
  2. Step 2: Convert to fraction form
    3,114/4,297.28 = 1,787.91/x
  3. Step 3: Cross multiply
    3,114x = 4,297.28 × 1,787.91
  4. Step 4: Simplify right side
    3,114x = 7,683,149.88
  5. Step 5: Solve for x
    x = 7,683,149.88/3,114
  6. Step 6: Final answer
    x = 2,467.29

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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.