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Finding the Fourth Proportional to 7,745.41, 11,617.91 and 2,815.14

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Solution

The fourth proportional to 7,745.41, 11,617.91 and 2,815.14 is: 4,222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.41 : 11,617.91 = 2,815.14 : x
  2. Step 2: Convert to fraction form
    7,745.41/11,617.91 = 2,815.14/x
  3. Step 3: Cross multiply
    7,745.41x = 11,617.91 × 2,815.14
  4. Step 4: Simplify right side
    7,745.41x = 32,706,043.16
  5. Step 5: Solve for x
    x = 32,706,043.16/7,745.41
  6. Step 6: Final answer
    x = 4,222.64

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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.