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Finding the Fourth Proportional to 7,778.96, 11,661.88 and 3,102.42

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Solution

The fourth proportional to 7,778.96, 11,661.88 and 3,102.42 is: 4,651.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.96 : 11,661.88 = 3,102.42 : x
  2. Step 2: Convert to fraction form
    7,778.96/11,661.88 = 3,102.42/x
  3. Step 3: Cross multiply
    7,778.96x = 11,661.88 × 3,102.42
  4. Step 4: Simplify right side
    7,778.96x = 36,180,049.75
  5. Step 5: Solve for x
    x = 36,180,049.75/7,778.96
  6. Step 6: Final answer
    x = 4,651.01

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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.