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Finding the Fourth Proportional to 7,661.80, 11,478.30 and 3,951.40

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Solution

The fourth proportional to 7,661.80, 11,478.30 and 3,951.40 is: 5,919.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.80 : 11,478.30 = 3,951.40 : x
  2. Step 2: Convert to fraction form
    7,661.80/11,478.30 = 3,951.40/x
  3. Step 3: Cross multiply
    7,661.80x = 11,478.30 × 3,951.40
  4. Step 4: Simplify right side
    7,661.80x = 45,355,354.62
  5. Step 5: Solve for x
    x = 45,355,354.62/7,661.80
  6. Step 6: Final answer
    x = 5,919.67

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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.