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Finding the Fourth Proportional to 3,605.21, 5,410.10 and 1,413.89

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Solution

The fourth proportional to 3,605.21, 5,410.10 and 1,413.89 is: 2,121.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.21 : 5,410.10 = 1,413.89 : x
  2. Step 2: Convert to fraction form
    3,605.21/5,410.10 = 1,413.89/x
  3. Step 3: Cross multiply
    3,605.21x = 5,410.10 × 1,413.89
  4. Step 4: Simplify right side
    3,605.21x = 7,649,252.17
  5. Step 5: Solve for x
    x = 7,649,252.17/3,605.21
  6. Step 6: Final answer
    x = 2,121.72

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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.