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Finding the Fourth Proportional to 1,847.66, 2,764.58 and 1,107.65

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Solution

The fourth proportional to 1,847.66, 2,764.58 and 1,107.65 is: 1,657.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.66 : 2,764.58 = 1,107.65 : x
  2. Step 2: Convert to fraction form
    1,847.66/2,764.58 = 1,107.65/x
  3. Step 3: Cross multiply
    1,847.66x = 2,764.58 × 1,107.65
  4. Step 4: Simplify right side
    1,847.66x = 3,062,188.41
  5. Step 5: Solve for x
    x = 3,062,188.41/1,847.66
  6. Step 6: Final answer
    x = 1,657.34

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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.