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Finding the Fourth Proportional to 1,857.87, 2,787.07 and 991.71

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Solution

The fourth proportional to 1,857.87, 2,787.07 and 991.71 is: 1,487.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.87 : 2,787.07 = 991.71 : x
  2. Step 2: Convert to fraction form
    1,857.87/2,787.07 = 991.71/x
  3. Step 3: Cross multiply
    1,857.87x = 2,787.07 × 991.71
  4. Step 4: Simplify right side
    1,857.87x = 2,763,959.46
  5. Step 5: Solve for x
    x = 2,763,959.46/1,857.87
  6. Step 6: Final answer
    x = 1,487.71

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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.