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Finding the Fourth Proportional to 2,193.86, 3,291.20 and 1,413.50

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Solution

The fourth proportional to 2,193.86, 3,291.20 and 1,413.50 is: 2,120.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.86 : 3,291.20 = 1,413.50 : x
  2. Step 2: Convert to fraction form
    2,193.86/3,291.20 = 1,413.50/x
  3. Step 3: Cross multiply
    2,193.86x = 3,291.20 × 1,413.50
  4. Step 4: Simplify right side
    2,193.86x = 4,652,111.20
  5. Step 5: Solve for x
    x = 4,652,111.20/2,193.86
  6. Step 6: Final answer
    x = 2,120.51

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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.