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Finding the Fourth Proportional to 2,577, 3,866.16 and 845.64

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Solution

The fourth proportional to 2,577, 3,866.16 and 845.64 is: 1,268.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577 : 3,866.16 = 845.64 : x
  2. Step 2: Convert to fraction form
    2,577/3,866.16 = 845.64/x
  3. Step 3: Cross multiply
    2,577x = 3,866.16 × 845.64
  4. Step 4: Simplify right side
    2,577x = 3,269,379.54
  5. Step 5: Solve for x
    x = 3,269,379.54/2,577
  6. Step 6: Final answer
    x = 1,268.68

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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.