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Finding the Fourth Proportional to 5,309.28, 7,964.28 and 1,413.72

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Solution

The fourth proportional to 5,309.28, 7,964.28 and 1,413.72 is: 2,120.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.28 : 7,964.28 = 1,413.72 : x
  2. Step 2: Convert to fraction form
    5,309.28/7,964.28 = 1,413.72/x
  3. Step 3: Cross multiply
    5,309.28x = 7,964.28 × 1,413.72
  4. Step 4: Simplify right side
    5,309.28x = 11,259,261.92
  5. Step 5: Solve for x
    x = 11,259,261.92/5,309.28
  6. Step 6: Final answer
    x = 2,120.68

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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.