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Finding the Fourth Proportional to 2,469.09, 3,702.42 and 907.99

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Solution

The fourth proportional to 2,469.09, 3,702.42 and 907.99 is: 1,361.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.09 : 3,702.42 = 907.99 : x
  2. Step 2: Convert to fraction form
    2,469.09/3,702.42 = 907.99/x
  3. Step 3: Cross multiply
    2,469.09x = 3,702.42 × 907.99
  4. Step 4: Simplify right side
    2,469.09x = 3,361,760.34
  5. Step 5: Solve for x
    x = 3,361,760.34/2,469.09
  6. Step 6: Final answer
    x = 1,361.54

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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.