Home / 2,113.09-3,170.51-942.29

Finding the Fourth Proportional to 2,113.09, 3,170.51 and 942.29

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Solution

The fourth proportional to 2,113.09, 3,170.51 and 942.29 is: 1,413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.09 : 3,170.51 = 942.29 : x
  2. Step 2: Convert to fraction form
    2,113.09/3,170.51 = 942.29/x
  3. Step 3: Cross multiply
    2,113.09x = 3,170.51 × 942.29
  4. Step 4: Simplify right side
    2,113.09x = 2,987,526.37
  5. Step 5: Solve for x
    x = 2,987,526.37/2,113.09
  6. Step 6: Final answer
    x = 1,413.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.