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Finding the Fourth Proportional to 7,600.50, 11,401.39 and 2,128.50

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Solution

The fourth proportional to 7,600.50, 11,401.39 and 2,128.50 is: 3,192.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,600.50 : 11,401.39 = 2,128.50 : x
  2. Step 2: Convert to fraction form
    7,600.50/11,401.39 = 2,128.50/x
  3. Step 3: Cross multiply
    7,600.50x = 11,401.39 × 2,128.50
  4. Step 4: Simplify right side
    7,600.50x = 24,267,858.62
  5. Step 5: Solve for x
    x = 24,267,858.62/7,600.50
  6. Step 6: Final answer
    x = 3,192.93

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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.