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Finding the Fourth Proportional to 7,855.99, 11,790.77 and 4,160.84

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Solution

The fourth proportional to 7,855.99, 11,790.77 and 4,160.84 is: 6,244.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.99 : 11,790.77 = 4,160.84 : x
  2. Step 2: Convert to fraction form
    7,855.99/11,790.77 = 4,160.84/x
  3. Step 3: Cross multiply
    7,855.99x = 11,790.77 × 4,160.84
  4. Step 4: Simplify right side
    7,855.99x = 49,059,427.69
  5. Step 5: Solve for x
    x = 49,059,427.69/7,855.99
  6. Step 6: Final answer
    x = 6,244.85

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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.