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Finding the Fourth Proportional to 2,751, 4,126.50 and 803.22

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Solution

The fourth proportional to 2,751, 4,126.50 and 803.22 is: 1,204.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751 : 4,126.50 = 803.22 : x
  2. Step 2: Convert to fraction form
    2,751/4,126.50 = 803.22/x
  3. Step 3: Cross multiply
    2,751x = 4,126.50 × 803.22
  4. Step 4: Simplify right side
    2,751x = 3,314,487.33
  5. Step 5: Solve for x
    x = 3,314,487.33/2,751
  6. Step 6: Final answer
    x = 1,204.83

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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.