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Finding the Fourth Proportional to 1,883.94, 2,827.38 and 1,787.61

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Solution

The fourth proportional to 1,883.94, 2,827.38 and 1,787.61 is: 2,682.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.94 : 2,827.38 = 1,787.61 : x
  2. Step 2: Convert to fraction form
    1,883.94/2,827.38 = 1,787.61/x
  3. Step 3: Cross multiply
    1,883.94x = 2,827.38 × 1,787.61
  4. Step 4: Simplify right side
    1,883.94x = 5,054,252.76
  5. Step 5: Solve for x
    x = 5,054,252.76/1,883.94
  6. Step 6: Final answer
    x = 2,682.81

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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.