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Finding the Fourth Proportional to 3,492.78, 5,239.81 and 1,152.90

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Solution

The fourth proportional to 3,492.78, 5,239.81 and 1,152.90 is: 1,729.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.78 : 5,239.81 = 1,152.90 : x
  2. Step 2: Convert to fraction form
    3,492.78/5,239.81 = 1,152.90/x
  3. Step 3: Cross multiply
    3,492.78x = 5,239.81 × 1,152.90
  4. Step 4: Simplify right side
    3,492.78x = 6,040,976.95
  5. Step 5: Solve for x
    x = 6,040,976.95/3,492.78
  6. Step 6: Final answer
    x = 1,729.56

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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.