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Finding the Fourth Proportional to 7,230.50, 10,847.28 and 4,112

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Solution

The fourth proportional to 7,230.50, 10,847.28 and 4,112 is: 6,168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.50 : 10,847.28 = 4,112 : x
  2. Step 2: Convert to fraction form
    7,230.50/10,847.28 = 4,112/x
  3. Step 3: Cross multiply
    7,230.50x = 10,847.28 × 4,112
  4. Step 4: Simplify right side
    7,230.50x = 44,604,015.36
  5. Step 5: Solve for x
    x = 44,604,015.36/7,230.50
  6. Step 6: Final answer
    x = 6,168.87

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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.