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Finding the Fourth Proportional to 2,277.37, 3,413.95 and 891.61

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Solution

The fourth proportional to 2,277.37, 3,413.95 and 891.61 is: 1,336.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.37 : 3,413.95 = 891.61 : x
  2. Step 2: Convert to fraction form
    2,277.37/3,413.95 = 891.61/x
  3. Step 3: Cross multiply
    2,277.37x = 3,413.95 × 891.61
  4. Step 4: Simplify right side
    2,277.37x = 3,043,901.20
  5. Step 5: Solve for x
    x = 3,043,901.20/2,277.37
  6. Step 6: Final answer
    x = 1,336.59

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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.