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Finding the Fourth Proportional to 3,362.72, 5,043.28 and 1,413.92

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Solution

The fourth proportional to 3,362.72, 5,043.28 and 1,413.92 is: 2,120.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.72 : 5,043.28 = 1,413.92 : x
  2. Step 2: Convert to fraction form
    3,362.72/5,043.28 = 1,413.92/x
  3. Step 3: Cross multiply
    3,362.72x = 5,043.28 × 1,413.92
  4. Step 4: Simplify right side
    3,362.72x = 7,130,794.46
  5. Step 5: Solve for x
    x = 7,130,794.46/3,362.72
  6. Step 6: Final answer
    x = 2,120.54

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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.