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Finding the Fourth Proportional to 1,847.91, 2,772.67 and 1,078.41

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Solution

The fourth proportional to 1,847.91, 2,772.67 and 1,078.41 is: 1,618.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.91 : 2,772.67 = 1,078.41 : x
  2. Step 2: Convert to fraction form
    1,847.91/2,772.67 = 1,078.41/x
  3. Step 3: Cross multiply
    1,847.91x = 2,772.67 × 1,078.41
  4. Step 4: Simplify right side
    1,847.91x = 2,990,075.05
  5. Step 5: Solve for x
    x = 2,990,075.05/1,847.91
  6. Step 6: Final answer
    x = 1,618.08

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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.