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Finding the Fourth Proportional to 5,664.64, 8,481.84 and 3,322.72

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Solution

The fourth proportional to 5,664.64, 8,481.84 and 3,322.72 is: 4,975.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.64 : 8,481.84 = 3,322.72 : x
  2. Step 2: Convert to fraction form
    5,664.64/8,481.84 = 3,322.72/x
  3. Step 3: Cross multiply
    5,664.64x = 8,481.84 × 3,322.72
  4. Step 4: Simplify right side
    5,664.64x = 28,182,779.40
  5. Step 5: Solve for x
    x = 28,182,779.40/5,664.64
  6. Step 6: Final answer
    x = 4,975.21

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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.