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Finding the Fourth Proportional to 3,493.98, 5,239.58 and 1,413.59

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Solution

The fourth proportional to 3,493.98, 5,239.58 and 1,413.59 is: 2,119.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.98 : 5,239.58 = 1,413.59 : x
  2. Step 2: Convert to fraction form
    3,493.98/5,239.58 = 1,413.59/x
  3. Step 3: Cross multiply
    3,493.98x = 5,239.58 × 1,413.59
  4. Step 4: Simplify right side
    3,493.98x = 7,406,584.63
  5. Step 5: Solve for x
    x = 7,406,584.63/3,493.98
  6. Step 6: Final answer
    x = 2,119.81

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1.5x scale

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.