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Finding the Fourth Proportional to 7,940.96, 11,911.44 and 4,676.80

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Solution

The fourth proportional to 7,940.96, 11,911.44 and 4,676.80 is: 7,015.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.96 : 11,911.44 = 4,676.80 : x
  2. Step 2: Convert to fraction form
    7,940.96/11,911.44 = 4,676.80/x
  3. Step 3: Cross multiply
    7,940.96x = 11,911.44 × 4,676.80
  4. Step 4: Simplify right side
    7,940.96x = 55,707,422.59
  5. Step 5: Solve for x
    x = 55,707,422.59/7,940.96
  6. Step 6: Final answer
    x = 7,015.20

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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.