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Finding the Fourth Proportional to 8,122.78, 11,205.48 and 4,763.50

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Solution

The fourth proportional to 8,122.78, 11,205.48 and 4,763.50 is: 6,571.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.78 : 11,205.48 = 4,763.50 : x
  2. Step 2: Convert to fraction form
    8,122.78/11,205.48 = 4,763.50/x
  3. Step 3: Cross multiply
    8,122.78x = 11,205.48 × 4,763.50
  4. Step 4: Simplify right side
    8,122.78x = 53,377,303.98
  5. Step 5: Solve for x
    x = 53,377,303.98/8,122.78
  6. Step 6: Final answer
    x = 6,571.31

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