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Finding the Fourth Proportional to 2,601.36, 3,902.94 and 1,601.82

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Solution

The fourth proportional to 2,601.36, 3,902.94 and 1,601.82 is: 2,403.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.36 : 3,902.94 = 1,601.82 : x
  2. Step 2: Convert to fraction form
    2,601.36/3,902.94 = 1,601.82/x
  3. Step 3: Cross multiply
    2,601.36x = 3,902.94 × 1,601.82
  4. Step 4: Simplify right side
    2,601.36x = 6,251,807.35
  5. Step 5: Solve for x
    x = 6,251,807.35/2,601.36
  6. Step 6: Final answer
    x = 2,403.28

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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.