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Finding the Fourth Proportional to 8,165.76, 12,253.37 and 3,782.99

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Solution

The fourth proportional to 8,165.76, 12,253.37 and 3,782.99 is: 5,676.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.76 : 12,253.37 = 3,782.99 : x
  2. Step 2: Convert to fraction form
    8,165.76/12,253.37 = 3,782.99/x
  3. Step 3: Cross multiply
    8,165.76x = 12,253.37 × 3,782.99
  4. Step 4: Simplify right side
    8,165.76x = 46,354,295.99
  5. Step 5: Solve for x
    x = 46,354,295.99/8,165.76
  6. Step 6: Final answer
    x = 5,676.67

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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.