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Finding the Fourth Proportional to 3,502.50, 5,254.02 and 1,194

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Solution

The fourth proportional to 3,502.50, 5,254.02 and 1,194 is: 1,791.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.50 : 5,254.02 = 1,194 : x
  2. Step 2: Convert to fraction form
    3,502.50/5,254.02 = 1,194/x
  3. Step 3: Cross multiply
    3,502.50x = 5,254.02 × 1,194
  4. Step 4: Simplify right side
    3,502.50x = 6,273,299.88
  5. Step 5: Solve for x
    x = 6,273,299.88/3,502.50
  6. Step 6: Final answer
    x = 1,791.09

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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.