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Finding the Fourth Proportional to 3,413.35, 5,120.03 and 948.17

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Solution

The fourth proportional to 3,413.35, 5,120.03 and 948.17 is: 1,422.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.35 : 5,120.03 = 948.17 : x
  2. Step 2: Convert to fraction form
    3,413.35/5,120.03 = 948.17/x
  3. Step 3: Cross multiply
    3,413.35x = 5,120.03 × 948.17
  4. Step 4: Simplify right side
    3,413.35x = 4,854,666.90
  5. Step 5: Solve for x
    x = 4,854,666.90/3,413.35
  6. Step 6: Final answer
    x = 1,422.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.