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Finding the Fourth Proportional to 3,509, 5,263.56 and 911.88

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Solution

The fourth proportional to 3,509, 5,263.56 and 911.88 is: 1,367.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509 : 5,263.56 = 911.88 : x
  2. Step 2: Convert to fraction form
    3,509/5,263.56 = 911.88/x
  3. Step 3: Cross multiply
    3,509x = 5,263.56 × 911.88
  4. Step 4: Simplify right side
    3,509x = 4,799,735.09
  5. Step 5: Solve for x
    x = 4,799,735.09/3,509
  6. Step 6: Final answer
    x = 1,367.84

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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.