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Finding the Fourth Proportional to 8,406.84, 12,610.22 and 2,563.43

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Solution

The fourth proportional to 8,406.84, 12,610.22 and 2,563.43 is: 3,845.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.84 : 12,610.22 = 2,563.43 : x
  2. Step 2: Convert to fraction form
    8,406.84/12,610.22 = 2,563.43/x
  3. Step 3: Cross multiply
    8,406.84x = 12,610.22 × 2,563.43
  4. Step 4: Simplify right side
    8,406.84x = 32,325,416.25
  5. Step 5: Solve for x
    x = 32,325,416.25/8,406.84
  6. Step 6: Final answer
    x = 3,845.13

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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.