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Finding the Fourth Proportional to 3,607.90, 5,413.20 and 1,418.20

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Solution

The fourth proportional to 3,607.90, 5,413.20 and 1,418.20 is: 2,127.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.90 : 5,413.20 = 1,418.20 : x
  2. Step 2: Convert to fraction form
    3,607.90/5,413.20 = 1,418.20/x
  3. Step 3: Cross multiply
    3,607.90x = 5,413.20 × 1,418.20
  4. Step 4: Simplify right side
    3,607.90x = 7,677,000.24
  5. Step 5: Solve for x
    x = 7,677,000.24/3,607.90
  6. Step 6: Final answer
    x = 2,127.83

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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.