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Finding the Fourth Proportional to 3,425.91, 4,727.74 and 1,854

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Solution

The fourth proportional to 3,425.91, 4,727.74 and 1,854 is: 2,558.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.91 : 4,727.74 = 1,854 : x
  2. Step 2: Convert to fraction form
    3,425.91/4,727.74 = 1,854/x
  3. Step 3: Cross multiply
    3,425.91x = 4,727.74 × 1,854
  4. Step 4: Simplify right side
    3,425.91x = 8,765,229.96
  5. Step 5: Solve for x
    x = 8,765,229.96/3,425.91
  6. Step 6: Final answer
    x = 2,558.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.