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Finding the Fourth Proportional to 4,617.92, 6,921 and 3,321.92

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Solution

The fourth proportional to 4,617.92, 6,921 and 3,321.92 is: 4,978.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.92 : 6,921 = 3,321.92 : x
  2. Step 2: Convert to fraction form
    4,617.92/6,921 = 3,321.92/x
  3. Step 3: Cross multiply
    4,617.92x = 6,921 × 3,321.92
  4. Step 4: Simplify right side
    4,617.92x = 22,991,008.32
  5. Step 5: Solve for x
    x = 22,991,008.32/4,617.92
  6. Step 6: Final answer
    x = 4,978.65

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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.