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Finding the Fourth Proportional to 2,694.43, 4,041.63 and 845.55

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Solution

The fourth proportional to 2,694.43, 4,041.63 and 845.55 is: 1,268.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.43 : 4,041.63 = 845.55 : x
  2. Step 2: Convert to fraction form
    2,694.43/4,041.63 = 845.55/x
  3. Step 3: Cross multiply
    2,694.43x = 4,041.63 × 845.55
  4. Step 4: Simplify right side
    2,694.43x = 3,417,390.14
  5. Step 5: Solve for x
    x = 3,417,390.14/2,694.43
  6. Step 6: Final answer
    x = 1,268.32

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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.