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Finding the Fourth Proportional to 8,216.94, 12,328.05 and 3,534.54

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Solution

The fourth proportional to 8,216.94, 12,328.05 and 3,534.54 is: 5,302.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.94 : 12,328.05 = 3,534.54 : x
  2. Step 2: Convert to fraction form
    8,216.94/12,328.05 = 3,534.54/x
  3. Step 3: Cross multiply
    8,216.94x = 12,328.05 × 3,534.54
  4. Step 4: Simplify right side
    8,216.94x = 43,573,985.85
  5. Step 5: Solve for x
    x = 43,573,985.85/8,216.94
  6. Step 6: Final answer
    x = 5,302.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.