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Finding the Fourth Proportional to 3,221, 4,444.98 and 1,749

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Solution

The fourth proportional to 3,221, 4,444.98 and 1,749 is: 2,413.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221 : 4,444.98 = 1,749 : x
  2. Step 2: Convert to fraction form
    3,221/4,444.98 = 1,749/x
  3. Step 3: Cross multiply
    3,221x = 4,444.98 × 1,749
  4. Step 4: Simplify right side
    3,221x = 7,774,270.02
  5. Step 5: Solve for x
    x = 7,774,270.02/3,221
  6. Step 6: Final answer
    x = 2,413.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.