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Finding the Fourth Proportional to 7,222.50, 10,838.10 and 3,118.50

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Solution

The fourth proportional to 7,222.50, 10,838.10 and 3,118.50 is: 4,679.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.50 : 10,838.10 = 3,118.50 : x
  2. Step 2: Convert to fraction form
    7,222.50/10,838.10 = 3,118.50/x
  3. Step 3: Cross multiply
    7,222.50x = 10,838.10 × 3,118.50
  4. Step 4: Simplify right side
    7,222.50x = 33,798,614.85
  5. Step 5: Solve for x
    x = 33,798,614.85/7,222.50
  6. Step 6: Final answer
    x = 4,679.63

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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.