Home / 2,586.29-3,878.77-942.70

Finding the Fourth Proportional to 2,586.29, 3,878.77 and 942.70

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Solution

The fourth proportional to 2,586.29, 3,878.77 and 942.70 is: 1,413.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.29 : 3,878.77 = 942.70 : x
  2. Step 2: Convert to fraction form
    2,586.29/3,878.77 = 942.70/x
  3. Step 3: Cross multiply
    2,586.29x = 3,878.77 × 942.70
  4. Step 4: Simplify right side
    2,586.29x = 3,656,516.48
  5. Step 5: Solve for x
    x = 3,656,516.48/2,586.29
  6. Step 6: Final answer
    x = 1,413.81

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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.