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Finding the Fourth Proportional to 3,884.77, 5,826.32 and 1,252.51

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Solution

The fourth proportional to 3,884.77, 5,826.32 and 1,252.51 is: 1,878.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.77 : 5,826.32 = 1,252.51 : x
  2. Step 2: Convert to fraction form
    3,884.77/5,826.32 = 1,252.51/x
  3. Step 3: Cross multiply
    3,884.77x = 5,826.32 × 1,252.51
  4. Step 4: Simplify right side
    3,884.77x = 7,297,494.93
  5. Step 5: Solve for x
    x = 7,297,494.93/3,884.77
  6. Step 6: Final answer
    x = 1,878.49

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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.