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Finding the Fourth Proportional to 1,874.92, 2,583.78 and 1,321.96

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Solution

The fourth proportional to 1,874.92, 2,583.78 and 1,321.96 is: 1,821.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.92 : 2,583.78 = 1,321.96 : x
  2. Step 2: Convert to fraction form
    1,874.92/2,583.78 = 1,321.96/x
  3. Step 3: Cross multiply
    1,874.92x = 2,583.78 × 1,321.96
  4. Step 4: Simplify right side
    1,874.92x = 3,415,653.81
  5. Step 5: Solve for x
    x = 3,415,653.81/1,874.92
  6. Step 6: Final answer
    x = 1,821.76

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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.