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Finding the Fourth Proportional to 2,855.68, 3,940.90 and 1,596.67

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Solution

The fourth proportional to 2,855.68, 3,940.90 and 1,596.67 is: 2,203.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.68 : 3,940.90 = 1,596.67 : x
  2. Step 2: Convert to fraction form
    2,855.68/3,940.90 = 1,596.67/x
  3. Step 3: Cross multiply
    2,855.68x = 3,940.90 × 1,596.67
  4. Step 4: Simplify right side
    2,855.68x = 6,292,302.96
  5. Step 5: Solve for x
    x = 6,292,302.96/2,855.68
  6. Step 6: Final answer
    x = 2,203.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.