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Finding the Fourth Proportional to 6,212.54, 9,318.89 and 1,830.09

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Solution

The fourth proportional to 6,212.54, 9,318.89 and 1,830.09 is: 2,745.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.54 : 9,318.89 = 1,830.09 : x
  2. Step 2: Convert to fraction form
    6,212.54/9,318.89 = 1,830.09/x
  3. Step 3: Cross multiply
    6,212.54x = 9,318.89 × 1,830.09
  4. Step 4: Simplify right side
    6,212.54x = 17,054,407.40
  5. Step 5: Solve for x
    x = 17,054,407.40/6,212.54
  6. Step 6: Final answer
    x = 2,745.16

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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.