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Finding the Fourth Proportional to 3,492.11, 5,238.02 and 993.31

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Solution

The fourth proportional to 3,492.11, 5,238.02 and 993.31 is: 1,489.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.11 : 5,238.02 = 993.31 : x
  2. Step 2: Convert to fraction form
    3,492.11/5,238.02 = 993.31/x
  3. Step 3: Cross multiply
    3,492.11x = 5,238.02 × 993.31
  4. Step 4: Simplify right side
    3,492.11x = 5,202,977.65
  5. Step 5: Solve for x
    x = 5,202,977.65/3,492.11
  6. Step 6: Final answer
    x = 1,489.92

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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.