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Finding the Fourth Proportional to 4,309, 6,466.74 and 3,453.64

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Solution

The fourth proportional to 4,309, 6,466.74 and 3,453.64 is: 5,183.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309 : 6,466.74 = 3,453.64 : x
  2. Step 2: Convert to fraction form
    4,309/6,466.74 = 3,453.64/x
  3. Step 3: Cross multiply
    4,309x = 6,466.74 × 3,453.64
  4. Step 4: Simplify right side
    4,309x = 22,333,791.93
  5. Step 5: Solve for x
    x = 22,333,791.93/4,309
  6. Step 6: Final answer
    x = 5,183.06

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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.