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Finding the Fourth Proportional to 2,781, 4,174.74 and 1,395.54

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Solution

The fourth proportional to 2,781, 4,174.74 and 1,395.54 is: 2,094.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781 : 4,174.74 = 1,395.54 : x
  2. Step 2: Convert to fraction form
    2,781/4,174.74 = 1,395.54/x
  3. Step 3: Cross multiply
    2,781x = 4,174.74 × 1,395.54
  4. Step 4: Simplify right side
    2,781x = 5,826,016.66
  5. Step 5: Solve for x
    x = 5,826,016.66/2,781
  6. Step 6: Final answer
    x = 2,094.94

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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.