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Finding the Fourth Proportional to 5,219.28, 7,204.86 and 3,123

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Solution

The fourth proportional to 5,219.28, 7,204.86 and 3,123 is: 4,311.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.28 : 7,204.86 = 3,123 : x
  2. Step 2: Convert to fraction form
    5,219.28/7,204.86 = 3,123/x
  3. Step 3: Cross multiply
    5,219.28x = 7,204.86 × 3,123
  4. Step 4: Simplify right side
    5,219.28x = 22,500,777.78
  5. Step 5: Solve for x
    x = 22,500,777.78/5,219.28
  6. Step 6: Final answer
    x = 4,311.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.