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Finding the Fourth Proportional to 3,186.54, 4,396.64 and 1,859.48

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Solution

The fourth proportional to 3,186.54, 4,396.64 and 1,859.48 is: 2,565.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.54 : 4,396.64 = 1,859.48 : x
  2. Step 2: Convert to fraction form
    3,186.54/4,396.64 = 1,859.48/x
  3. Step 3: Cross multiply
    3,186.54x = 4,396.64 × 1,859.48
  4. Step 4: Simplify right side
    3,186.54x = 8,175,464.15
  5. Step 5: Solve for x
    x = 8,175,464.15/3,186.54
  6. Step 6: Final answer
    x = 2,565.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.