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Finding the Fourth Proportional to 3,184.62, 4,394.78 and 1,787.38

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Solution

The fourth proportional to 3,184.62, 4,394.78 and 1,787.38 is: 2,466.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.62 : 4,394.78 = 1,787.38 : x
  2. Step 2: Convert to fraction form
    3,184.62/4,394.78 = 1,787.38/x
  3. Step 3: Cross multiply
    3,184.62x = 4,394.78 × 1,787.38
  4. Step 4: Simplify right side
    3,184.62x = 7,855,141.88
  5. Step 5: Solve for x
    x = 7,855,141.88/3,184.62
  6. Step 6: Final answer
    x = 2,466.59

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1.5x scale

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.