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Finding the Fourth Proportional to 7,884.44, 11,806.46 and 7,650.86

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Solution

The fourth proportional to 7,884.44, 11,806.46 and 7,650.86 is: 11,456.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.44 : 11,806.46 = 7,650.86 : x
  2. Step 2: Convert to fraction form
    7,884.44/11,806.46 = 7,650.86/x
  3. Step 3: Cross multiply
    7,884.44x = 11,806.46 × 7,650.86
  4. Step 4: Simplify right side
    7,884.44x = 90,329,503.96
  5. Step 5: Solve for x
    x = 90,329,503.96/7,884.44
  6. Step 6: Final answer
    x = 11,456.68

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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.