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Finding the Fourth Proportional to 1,787.94, 2,683.05 and 1,299.78

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Solution

The fourth proportional to 1,787.94, 2,683.05 and 1,299.78 is: 1,950.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.94 : 2,683.05 = 1,299.78 : x
  2. Step 2: Convert to fraction form
    1,787.94/2,683.05 = 1,299.78/x
  3. Step 3: Cross multiply
    1,787.94x = 2,683.05 × 1,299.78
  4. Step 4: Simplify right side
    1,787.94x = 3,487,374.73
  5. Step 5: Solve for x
    x = 3,487,374.73/1,787.94
  6. Step 6: Final answer
    x = 1,950.50

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1.5x scale

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.