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Finding the Fourth Proportional to 8,563.05, 12,851.43 and 8,289.68

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Solution

The fourth proportional to 8,563.05, 12,851.43 and 8,289.68 is: 12,441.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.05 : 12,851.43 = 8,289.68 : x
  2. Step 2: Convert to fraction form
    8,563.05/12,851.43 = 8,289.68/x
  3. Step 3: Cross multiply
    8,563.05x = 12,851.43 × 8,289.68
  4. Step 4: Simplify right side
    8,563.05x = 106,534,146.90
  5. Step 5: Solve for x
    x = 106,534,146.90/8,563.05
  6. Step 6: Final answer
    x = 12,441.15

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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.