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Finding the Fourth Proportional to 7,252, 10,879.44 and 3,092

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Solution

The fourth proportional to 7,252, 10,879.44 and 3,092 is: 4,638.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,252 : 10,879.44 = 3,092 : x
  2. Step 2: Convert to fraction form
    7,252/10,879.44 = 3,092/x
  3. Step 3: Cross multiply
    7,252x = 10,879.44 × 3,092
  4. Step 4: Simplify right side
    7,252x = 33,639,228.48
  5. Step 5: Solve for x
    x = 33,639,228.48/7,252
  6. Step 6: Final answer
    x = 4,638.61

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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.