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Finding the Fourth Proportional to 2,567.21, 3,850.22 and 718.45

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Solution

The fourth proportional to 2,567.21, 3,850.22 and 718.45 is: 1,077.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.21 : 3,850.22 = 718.45 : x
  2. Step 2: Convert to fraction form
    2,567.21/3,850.22 = 718.45/x
  3. Step 3: Cross multiply
    2,567.21x = 3,850.22 × 718.45
  4. Step 4: Simplify right side
    2,567.21x = 2,766,202.37
  5. Step 5: Solve for x
    x = 2,766,202.37/2,567.21
  6. Step 6: Final answer
    x = 1,077.51

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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.