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Finding the Fourth Proportional to 5,309.34, 7,964.00 and 1,413.75

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Solution

The fourth proportional to 5,309.34, 7,964.00 and 1,413.75 is: 2,120.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.34 : 7,964.00 = 1,413.75 : x
  2. Step 2: Convert to fraction form
    5,309.34/7,964.00 = 1,413.75/x
  3. Step 3: Cross multiply
    5,309.34x = 7,964.00 × 1,413.75
  4. Step 4: Simplify right side
    5,309.34x = 11,259,097.93
  5. Step 5: Solve for x
    x = 11,259,097.93/5,309.34
  6. Step 6: Final answer
    x = 2,120.62

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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.