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Finding the Fourth Proportional to 7,830.14, 11,745.14 and 1,986.66

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Solution

The fourth proportional to 7,830.14, 11,745.14 and 1,986.66 is: 2,979.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.14 : 11,745.14 = 1,986.66 : x
  2. Step 2: Convert to fraction form
    7,830.14/11,745.14 = 1,986.66/x
  3. Step 3: Cross multiply
    7,830.14x = 11,745.14 × 1,986.66
  4. Step 4: Simplify right side
    7,830.14x = 23,333,589.90
  5. Step 5: Solve for x
    x = 23,333,589.90/7,830.14
  6. Step 6: Final answer
    x = 2,979.97

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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.