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Finding the Fourth Proportional to 6,381.44, 9,573.68 and 3,090.68

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Solution

The fourth proportional to 6,381.44, 9,573.68 and 3,090.68 is: 4,636.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.44 : 9,573.68 = 3,090.68 : x
  2. Step 2: Convert to fraction form
    6,381.44/9,573.68 = 3,090.68/x
  3. Step 3: Cross multiply
    6,381.44x = 9,573.68 × 3,090.68
  4. Step 4: Simplify right side
    6,381.44x = 29,589,212.96
  5. Step 5: Solve for x
    x = 29,589,212.96/6,381.44
  6. Step 6: Final answer
    x = 4,636.76

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1.5x scale

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.