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Finding the Fourth Proportional to 3,197, 4,413.18 and 2,120.24

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Solution

The fourth proportional to 3,197, 4,413.18 and 2,120.24 is: 2,926.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197 : 4,413.18 = 2,120.24 : x
  2. Step 2: Convert to fraction form
    3,197/4,413.18 = 2,120.24/x
  3. Step 3: Cross multiply
    3,197x = 4,413.18 × 2,120.24
  4. Step 4: Simplify right side
    3,197x = 9,357,000.76
  5. Step 5: Solve for x
    x = 9,357,000.76/3,197
  6. Step 6: Final answer
    x = 2,926.81

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1.5x scale

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.