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Finding the Fourth Proportional to 4,619, 6,930.53 and 2,427.22

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Solution

The fourth proportional to 4,619, 6,930.53 and 2,427.22 is: 3,641.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,619 : 6,930.53 = 2,427.22 : x
  2. Step 2: Convert to fraction form
    4,619/6,930.53 = 2,427.22/x
  3. Step 3: Cross multiply
    4,619x = 6,930.53 × 2,427.22
  4. Step 4: Simplify right side
    4,619x = 16,821,874.24
  5. Step 5: Solve for x
    x = 16,821,874.24/4,619
  6. Step 6: Final answer
    x = 3,641.89

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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.