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Finding the Fourth Proportional to 3,413.85, 5,120.87 and 948.85

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Solution

The fourth proportional to 3,413.85, 5,120.87 and 948.85 is: 1,423.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.85 : 5,120.87 = 948.85 : x
  2. Step 2: Convert to fraction form
    3,413.85/5,120.87 = 948.85/x
  3. Step 3: Cross multiply
    3,413.85x = 5,120.87 × 948.85
  4. Step 4: Simplify right side
    3,413.85x = 4,858,937.50
  5. Step 5: Solve for x
    x = 4,858,937.50/3,413.85
  6. Step 6: Final answer
    x = 1,423.30

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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.