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Finding the Fourth Proportional to 6,106.64, 9,163.74 and 2,820.20

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Solution

The fourth proportional to 6,106.64, 9,163.74 and 2,820.20 is: 4,232.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.64 : 9,163.74 = 2,820.20 : x
  2. Step 2: Convert to fraction form
    6,106.64/9,163.74 = 2,820.20/x
  3. Step 3: Cross multiply
    6,106.64x = 9,163.74 × 2,820.20
  4. Step 4: Simplify right side
    6,106.64x = 25,843,579.55
  5. Step 5: Solve for x
    x = 25,843,579.55/6,106.64
  6. Step 6: Final answer
    x = 4,232.05

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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.