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Finding the Fourth Proportional to 7,898.36, 11,849.73 and 3,455.22

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Solution

The fourth proportional to 7,898.36, 11,849.73 and 3,455.22 is: 5,183.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.36 : 11,849.73 = 3,455.22 : x
  2. Step 2: Convert to fraction form
    7,898.36/11,849.73 = 3,455.22/x
  3. Step 3: Cross multiply
    7,898.36x = 11,849.73 × 3,455.22
  4. Step 4: Simplify right side
    7,898.36x = 40,943,455.57
  5. Step 5: Solve for x
    x = 40,943,455.57/7,898.36
  6. Step 6: Final answer
    x = 5,183.80

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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.