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Finding the Fourth Proportional to 3,413.35, 5,120.12 and 948.35

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Solution

The fourth proportional to 3,413.35, 5,120.12 and 948.35 is: 1,422.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.35 : 5,120.12 = 948.35 : x
  2. Step 2: Convert to fraction form
    3,413.35/5,120.12 = 948.35/x
  3. Step 3: Cross multiply
    3,413.35x = 5,120.12 × 948.35
  4. Step 4: Simplify right side
    3,413.35x = 4,855,635.46
  5. Step 5: Solve for x
    x = 4,855,635.46/3,413.35
  6. Step 6: Final answer
    x = 1,422.54

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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.