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Finding the Fourth Proportional to 3,360.81, 5,041.76 and 1,413.57

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Solution

The fourth proportional to 3,360.81, 5,041.76 and 1,413.57 is: 2,120.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,360.81 : 5,041.76 = 1,413.57 : x
  2. Step 2: Convert to fraction form
    3,360.81/5,041.76 = 1,413.57/x
  3. Step 3: Cross multiply
    3,360.81x = 5,041.76 × 1,413.57
  4. Step 4: Simplify right side
    3,360.81x = 7,126,873.62
  5. Step 5: Solve for x
    x = 7,126,873.62/3,360.81
  6. Step 6: Final answer
    x = 2,120.58

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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.