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Finding the Fourth Proportional to 31,787.44, 47,682.07 and 8,413.88

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Solution

The fourth proportional to 31,787.44, 47,682.07 and 8,413.88 is: 12,621.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,787.44 : 47,682.07 = 8,413.88 : x
  2. Step 2: Convert to fraction form
    31,787.44/47,682.07 = 8,413.88/x
  3. Step 3: Cross multiply
    31,787.44x = 47,682.07 × 8,413.88
  4. Step 4: Simplify right side
    31,787.44x = 401,190,955.69
  5. Step 5: Solve for x
    x = 401,190,955.69/31,787.44
  6. Step 6: Final answer
    x = 12,621.05

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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.