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Finding the Fourth Proportional to 5,786, 7,991.20 and 3,919.76

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Solution

The fourth proportional to 5,786, 7,991.20 and 3,919.76 is: 5,413.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786 : 7,991.20 = 3,919.76 : x
  2. Step 2: Convert to fraction form
    5,786/7,991.20 = 3,919.76/x
  3. Step 3: Cross multiply
    5,786x = 7,991.20 × 3,919.76
  4. Step 4: Simplify right side
    5,786x = 31,323,586.11
  5. Step 5: Solve for x
    x = 31,323,586.11/5,786
  6. Step 6: Final answer
    x = 5,413.69

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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.