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Finding the Fourth Proportional to 35,806.70, 49,413.30 and 19,890.74

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Solution

The fourth proportional to 35,806.70, 49,413.30 and 19,890.74 is: 27,449.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,806.70 : 49,413.30 = 19,890.74 : x
  2. Step 2: Convert to fraction form
    35,806.70/49,413.30 = 19,890.74/x
  3. Step 3: Cross multiply
    35,806.70x = 49,413.30 × 19,890.74
  4. Step 4: Simplify right side
    35,806.70x = 982,867,102.84
  5. Step 5: Solve for x
    x = 982,867,102.84/35,806.70
  6. Step 6: Final answer
    x = 27,449.25

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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.