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Finding the Fourth Proportional to 3,863.80, 5,795.70 and 942.10

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Solution

The fourth proportional to 3,863.80, 5,795.70 and 942.10 is: 1,413.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.80 : 5,795.70 = 942.10 : x
  2. Step 2: Convert to fraction form
    3,863.80/5,795.70 = 942.10/x
  3. Step 3: Cross multiply
    3,863.80x = 5,795.70 × 942.10
  4. Step 4: Simplify right side
    3,863.80x = 5,460,128.97
  5. Step 5: Solve for x
    x = 5,460,128.97/3,863.80
  6. Step 6: Final answer
    x = 1,413.15

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1.5x scale

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.