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Finding the Fourth Proportional to 7,855.72, 11,785.50 and 2,661.64

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Solution

The fourth proportional to 7,855.72, 11,785.50 and 2,661.64 is: 3,993.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.72 : 11,785.50 = 2,661.64 : x
  2. Step 2: Convert to fraction form
    7,855.72/11,785.50 = 2,661.64/x
  3. Step 3: Cross multiply
    7,855.72x = 11,785.50 × 2,661.64
  4. Step 4: Simplify right side
    7,855.72x = 31,368,758.22
  5. Step 5: Solve for x
    x = 31,368,758.22/7,855.72
  6. Step 6: Final answer
    x = 3,993.11

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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.