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Finding the Fourth Proportional to 2,698.92, 3,729.60 and 2,431.44

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Solution

The fourth proportional to 2,698.92, 3,729.60 and 2,431.44 is: 3,359.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.92 : 3,729.60 = 2,431.44 : x
  2. Step 2: Convert to fraction form
    2,698.92/3,729.60 = 2,431.44/x
  3. Step 3: Cross multiply
    2,698.92x = 3,729.60 × 2,431.44
  4. Step 4: Simplify right side
    2,698.92x = 9,068,298.62
  5. Step 5: Solve for x
    x = 9,068,298.62/2,698.92
  6. Step 6: Final answer
    x = 3,359.97

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1.5x scale

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.