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Finding the Fourth Proportional to 3,494, 4,821.76 and 1,922.24

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Solution

The fourth proportional to 3,494, 4,821.76 and 1,922.24 is: 2,652.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494 : 4,821.76 = 1,922.24 : x
  2. Step 2: Convert to fraction form
    3,494/4,821.76 = 1,922.24/x
  3. Step 3: Cross multiply
    3,494x = 4,821.76 × 1,922.24
  4. Step 4: Simplify right side
    3,494x = 9,268,579.94
  5. Step 5: Solve for x
    x = 9,268,579.94/3,494
  6. Step 6: Final answer
    x = 2,652.71

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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.