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Finding the Fourth Proportional to 3,326, 4,992.10 and 1,683.72

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Solution

The fourth proportional to 3,326, 4,992.10 and 1,683.72 is: 2,527.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,326 : 4,992.10 = 1,683.72 : x
  2. Step 2: Convert to fraction form
    3,326/4,992.10 = 1,683.72/x
  3. Step 3: Cross multiply
    3,326x = 4,992.10 × 1,683.72
  4. Step 4: Simplify right side
    3,326x = 8,405,298.61
  5. Step 5: Solve for x
    x = 8,405,298.61/3,326
  6. Step 6: Final answer
    x = 2,527.15

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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.