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Finding the Fourth Proportional to 8,191.80, 12,289.50 and 3,807

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Solution

The fourth proportional to 8,191.80, 12,289.50 and 3,807 is: 5,711.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.80 : 12,289.50 = 3,807 : x
  2. Step 2: Convert to fraction form
    8,191.80/12,289.50 = 3,807/x
  3. Step 3: Cross multiply
    8,191.80x = 12,289.50 × 3,807
  4. Step 4: Simplify right side
    8,191.80x = 46,786,126.50
  5. Step 5: Solve for x
    x = 46,786,126.50/8,191.80
  6. Step 6: Final answer
    x = 5,711.34

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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.