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Finding the Fourth Proportional to 2,764.94, 4,147.31 and 684.95

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Solution

The fourth proportional to 2,764.94, 4,147.31 and 684.95 is: 1,027.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.94 : 4,147.31 = 684.95 : x
  2. Step 2: Convert to fraction form
    2,764.94/4,147.31 = 684.95/x
  3. Step 3: Cross multiply
    2,764.94x = 4,147.31 × 684.95
  4. Step 4: Simplify right side
    2,764.94x = 2,840,712.07
  5. Step 5: Solve for x
    x = 2,840,712.07/2,764.94
  6. Step 6: Final answer
    x = 1,027.40

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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.