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Finding the Fourth Proportional to 5,009, 6,912.74 and 2,801

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Solution

The fourth proportional to 5,009, 6,912.74 and 2,801 is: 3,865.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009 : 6,912.74 = 2,801 : x
  2. Step 2: Convert to fraction form
    5,009/6,912.74 = 2,801/x
  3. Step 3: Cross multiply
    5,009x = 6,912.74 × 2,801
  4. Step 4: Simplify right side
    5,009x = 19,362,584.74
  5. Step 5: Solve for x
    x = 19,362,584.74/5,009
  6. Step 6: Final answer
    x = 3,865.56

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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.