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Finding the Fourth Proportional to 3,754.81, 5,628.31 and 1,413.21

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Solution

The fourth proportional to 3,754.81, 5,628.31 and 1,413.21 is: 2,118.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.81 : 5,628.31 = 1,413.21 : x
  2. Step 2: Convert to fraction form
    3,754.81/5,628.31 = 1,413.21/x
  3. Step 3: Cross multiply
    3,754.81x = 5,628.31 × 1,413.21
  4. Step 4: Simplify right side
    3,754.81x = 7,953,983.98
  5. Step 5: Solve for x
    x = 7,953,983.98/3,754.81
  6. Step 6: Final answer
    x = 2,118.35

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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.