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Finding the Fourth Proportional to 8,153.28, 12,221.64 and 4,636.02

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Solution

The fourth proportional to 8,153.28, 12,221.64 and 4,636.02 is: 6,949.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153.28 : 12,221.64 = 4,636.02 : x
  2. Step 2: Convert to fraction form
    8,153.28/12,221.64 = 4,636.02/x
  3. Step 3: Cross multiply
    8,153.28x = 12,221.64 × 4,636.02
  4. Step 4: Simplify right side
    8,153.28x = 56,659,767.47
  5. Step 5: Solve for x
    x = 56,659,767.47/8,153.28
  6. Step 6: Final answer
    x = 6,949.32

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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.