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Finding the Fourth Proportional to 3,859.56, 5,775.84 and 2,766.24

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Solution

The fourth proportional to 3,859.56, 5,775.84 and 2,766.24 is: 4,139.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.56 : 5,775.84 = 2,766.24 : x
  2. Step 2: Convert to fraction form
    3,859.56/5,775.84 = 2,766.24/x
  3. Step 3: Cross multiply
    3,859.56x = 5,775.84 × 2,766.24
  4. Step 4: Simplify right side
    3,859.56x = 15,977,359.64
  5. Step 5: Solve for x
    x = 15,977,359.64/3,859.56
  6. Step 6: Final answer
    x = 4,139.68

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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.