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Finding the Fourth Proportional to 5,609.44, 7,742.78 and 3,620

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Solution

The fourth proportional to 5,609.44, 7,742.78 and 3,620 is: 4,996.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.44 : 7,742.78 = 3,620 : x
  2. Step 2: Convert to fraction form
    5,609.44/7,742.78 = 3,620/x
  3. Step 3: Cross multiply
    5,609.44x = 7,742.78 × 3,620
  4. Step 4: Simplify right side
    5,609.44x = 28,028,863.60
  5. Step 5: Solve for x
    x = 28,028,863.60/5,609.44
  6. Step 6: Final answer
    x = 4,996.73

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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.