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Finding the Fourth Proportional to 1,857.86, 2,787.25 and 1,311.11

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Solution

The fourth proportional to 1,857.86, 2,787.25 and 1,311.11 is: 1,966.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.86 : 2,787.25 = 1,311.11 : x
  2. Step 2: Convert to fraction form
    1,857.86/2,787.25 = 1,311.11/x
  3. Step 3: Cross multiply
    1,857.86x = 2,787.25 × 1,311.11
  4. Step 4: Simplify right side
    1,857.86x = 3,654,391.35
  5. Step 5: Solve for x
    x = 3,654,391.35/1,857.86
  6. Step 6: Final answer
    x = 1,966.99

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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.