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Finding the Fourth Proportional to 7,309.20, 10,951.20 and 3,405.60

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Solution

The fourth proportional to 7,309.20, 10,951.20 and 3,405.60 is: 5,102.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.20 : 10,951.20 = 3,405.60 : x
  2. Step 2: Convert to fraction form
    7,309.20/10,951.20 = 3,405.60/x
  3. Step 3: Cross multiply
    7,309.20x = 10,951.20 × 3,405.60
  4. Step 4: Simplify right side
    7,309.20x = 37,295,406.72
  5. Step 5: Solve for x
    x = 37,295,406.72/7,309.20
  6. Step 6: Final answer
    x = 5,102.53

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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.