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Finding the Fourth Proportional to 5,252.96, 7,874.48 and 1,787.84

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Solution

The fourth proportional to 5,252.96, 7,874.48 and 1,787.84 is: 2,680.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.96 : 7,874.48 = 1,787.84 : x
  2. Step 2: Convert to fraction form
    5,252.96/7,874.48 = 1,787.84/x
  3. Step 3: Cross multiply
    5,252.96x = 7,874.48 × 1,787.84
  4. Step 4: Simplify right side
    5,252.96x = 14,078,310.32
  5. Step 5: Solve for x
    x = 14,078,310.32/5,252.96
  6. Step 6: Final answer
    x = 2,680.07

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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.