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Finding the Fourth Proportional to 5,309.44, 7,964.16 and 1,413.86

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Solution

The fourth proportional to 5,309.44, 7,964.16 and 1,413.86 is: 2,120.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.44 : 7,964.16 = 1,413.86 : x
  2. Step 2: Convert to fraction form
    5,309.44/7,964.16 = 1,413.86/x
  3. Step 3: Cross multiply
    5,309.44x = 7,964.16 × 1,413.86
  4. Step 4: Simplify right side
    5,309.44x = 11,260,207.26
  5. Step 5: Solve for x
    x = 11,260,207.26/5,309.44
  6. Step 6: Final answer
    x = 2,120.79

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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.