Home / 2,586.43-3,878.07-942.54

Finding the Fourth Proportional to 2,586.43, 3,878.07 and 942.54

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Solution

The fourth proportional to 2,586.43, 3,878.07 and 942.54 is: 1,413.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.43 : 3,878.07 = 942.54 : x
  2. Step 2: Convert to fraction form
    2,586.43/3,878.07 = 942.54/x
  3. Step 3: Cross multiply
    2,586.43x = 3,878.07 × 942.54
  4. Step 4: Simplify right side
    2,586.43x = 3,655,236.10
  5. Step 5: Solve for x
    x = 3,655,236.10/2,586.43
  6. Step 6: Final answer
    x = 1,413.24

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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.