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Finding the Fourth Proportional to 7,794.77, 11,697.75 and 3,112.09

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Solution

The fourth proportional to 7,794.77, 11,697.75 and 3,112.09 is: 4,670.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.77 : 11,697.75 = 3,112.09 : x
  2. Step 2: Convert to fraction form
    7,794.77/11,697.75 = 3,112.09/x
  3. Step 3: Cross multiply
    7,794.77x = 11,697.75 × 3,112.09
  4. Step 4: Simplify right side
    7,794.77x = 36,404,421.55
  5. Step 5: Solve for x
    x = 36,404,421.55/7,794.77
  6. Step 6: Final answer
    x = 4,670.37

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1.5x scale

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.