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Finding the Fourth Proportional to 2,787.96, 4,178.19 and 1,959.53

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Solution

The fourth proportional to 2,787.96, 4,178.19 and 1,959.53 is: 2,936.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.96 : 4,178.19 = 1,959.53 : x
  2. Step 2: Convert to fraction form
    2,787.96/4,178.19 = 1,959.53/x
  3. Step 3: Cross multiply
    2,787.96x = 4,178.19 × 1,959.53
  4. Step 4: Simplify right side
    2,787.96x = 8,187,288.65
  5. Step 5: Solve for x
    x = 8,187,288.65/2,787.96
  6. Step 6: Final answer
    x = 2,936.66

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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.