Home / 2,129.46-3,193.05-942.42

Finding the Fourth Proportional to 2,129.46, 3,193.05 and 942.42

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Solution

The fourth proportional to 2,129.46, 3,193.05 and 942.42 is: 1,413.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.46 : 3,193.05 = 942.42 : x
  2. Step 2: Convert to fraction form
    2,129.46/3,193.05 = 942.42/x
  3. Step 3: Cross multiply
    2,129.46x = 3,193.05 × 942.42
  4. Step 4: Simplify right side
    2,129.46x = 3,009,194.18
  5. Step 5: Solve for x
    x = 3,009,194.18/2,129.46
  6. Step 6: Final answer
    x = 1,413.13

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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.