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Finding the Fourth Proportional to 3,752.53, 5,628.79 and 1,413.05

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Solution

The fourth proportional to 3,752.53, 5,628.79 and 1,413.05 is: 2,119.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.53 : 5,628.79 = 1,413.05 : x
  2. Step 2: Convert to fraction form
    3,752.53/5,628.79 = 1,413.05/x
  3. Step 3: Cross multiply
    3,752.53x = 5,628.79 × 1,413.05
  4. Step 4: Simplify right side
    3,752.53x = 7,953,735.33
  5. Step 5: Solve for x
    x = 7,953,735.33/3,752.53
  6. Step 6: Final answer
    x = 2,119.57

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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.