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Finding the Fourth Proportional to 3,184.63, 4,394.92 and 1,787.38

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Solution

The fourth proportional to 3,184.63, 4,394.92 and 1,787.38 is: 2,466.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.63 : 4,394.92 = 1,787.38 : x
  2. Step 2: Convert to fraction form
    3,184.63/4,394.92 = 1,787.38/x
  3. Step 3: Cross multiply
    3,184.63x = 4,394.92 × 1,787.38
  4. Step 4: Simplify right side
    3,184.63x = 7,855,392.11
  5. Step 5: Solve for x
    x = 7,855,392.11/3,184.63
  6. Step 6: Final answer
    x = 2,466.66

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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.