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Finding the Fourth Proportional to 4,745.67, 7,117.87 and 1,413.86

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Solution

The fourth proportional to 4,745.67, 7,117.87 and 1,413.86 is: 2,120.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.67 : 7,117.87 = 1,413.86 : x
  2. Step 2: Convert to fraction form
    4,745.67/7,117.87 = 1,413.86/x
  3. Step 3: Cross multiply
    4,745.67x = 7,117.87 × 1,413.86
  4. Step 4: Simplify right side
    4,745.67x = 10,063,629.02
  5. Step 5: Solve for x
    x = 10,063,629.02/4,745.67
  6. Step 6: Final answer
    x = 2,120.59

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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.