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Finding the Fourth Proportional to 7,243, 10,856.94 and 3,349.96

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Solution

The fourth proportional to 7,243, 10,856.94 and 3,349.96 is: 5,021.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243 : 10,856.94 = 3,349.96 : x
  2. Step 2: Convert to fraction form
    7,243/10,856.94 = 3,349.96/x
  3. Step 3: Cross multiply
    7,243x = 10,856.94 × 3,349.96
  4. Step 4: Simplify right side
    7,243x = 36,370,314.72
  5. Step 5: Solve for x
    x = 36,370,314.72/7,243
  6. Step 6: Final answer
    x = 5,021.44

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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.