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Finding the Fourth Proportional to 3,197.70, 4,413.12 and 1,871.32

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Solution

The fourth proportional to 3,197.70, 4,413.12 and 1,871.32 is: 2,582.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.70 : 4,413.12 = 1,871.32 : x
  2. Step 2: Convert to fraction form
    3,197.70/4,413.12 = 1,871.32/x
  3. Step 3: Cross multiply
    3,197.70x = 4,413.12 × 1,871.32
  4. Step 4: Simplify right side
    3,197.70x = 8,258,359.72
  5. Step 5: Solve for x
    x = 8,258,359.72/3,197.70
  6. Step 6: Final answer
    x = 2,582.59

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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.