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Finding the Fourth Proportional to 6,809.92, 9,390 and 5,813.44

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Solution

The fourth proportional to 6,809.92, 9,390 and 5,813.44 is: 8,015.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.92 : 9,390 = 5,813.44 : x
  2. Step 2: Convert to fraction form
    6,809.92/9,390 = 5,813.44/x
  3. Step 3: Cross multiply
    6,809.92x = 9,390 × 5,813.44
  4. Step 4: Simplify right side
    6,809.92x = 54,588,201.60
  5. Step 5: Solve for x
    x = 54,588,201.60/6,809.92
  6. Step 6: Final answer
    x = 8,015.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.