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Finding the Fourth Proportional to 3,504.06, 5,256 and 906.75

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Solution

The fourth proportional to 3,504.06, 5,256 and 906.75 is: 1,360.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.06 : 5,256 = 906.75 : x
  2. Step 2: Convert to fraction form
    3,504.06/5,256 = 906.75/x
  3. Step 3: Cross multiply
    3,504.06x = 5,256 × 906.75
  4. Step 4: Simplify right side
    3,504.06x = 4,765,878
  5. Step 5: Solve for x
    x = 4,765,878/3,504.06
  6. Step 6: Final answer
    x = 1,360.10

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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.