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Finding the Fourth Proportional to 3,413.64, 5,119.88 and 948.48

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Solution

The fourth proportional to 3,413.64, 5,119.88 and 948.48 is: 1,422.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.64 : 5,119.88 = 948.48 : x
  2. Step 2: Convert to fraction form
    3,413.64/5,119.88 = 948.48/x
  3. Step 3: Cross multiply
    3,413.64x = 5,119.88 × 948.48
  4. Step 4: Simplify right side
    3,413.64x = 4,856,079.84
  5. Step 5: Solve for x
    x = 4,856,079.84/3,413.64
  6. Step 6: Final answer
    x = 1,422.55

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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.