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Finding the Fourth Proportional to 2,288.68, 3,413.68 and 2,219.46

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Solution

The fourth proportional to 2,288.68, 3,413.68 and 2,219.46 is: 3,310.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.68 : 3,413.68 = 2,219.46 : x
  2. Step 2: Convert to fraction form
    2,288.68/3,413.68 = 2,219.46/x
  3. Step 3: Cross multiply
    2,288.68x = 3,413.68 × 2,219.46
  4. Step 4: Simplify right side
    2,288.68x = 7,576,526.21
  5. Step 5: Solve for x
    x = 7,576,526.21/2,288.68
  6. Step 6: Final answer
    x = 3,310.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.