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Finding the Fourth Proportional to 2,297.71, 3,170.87 and 1,413.19

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Solution

The fourth proportional to 2,297.71, 3,170.87 and 1,413.19 is: 1,950.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.71 : 3,170.87 = 1,413.19 : x
  2. Step 2: Convert to fraction form
    2,297.71/3,170.87 = 1,413.19/x
  3. Step 3: Cross multiply
    2,297.71x = 3,170.87 × 1,413.19
  4. Step 4: Simplify right side
    2,297.71x = 4,481,037.38
  5. Step 5: Solve for x
    x = 4,481,037.38/2,297.71
  6. Step 6: Final answer
    x = 1,950.22

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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.