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Finding the Fourth Proportional to 8,783, 13,163.02 and 7,669.62

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Solution

The fourth proportional to 8,783, 13,163.02 and 7,669.62 is: 11,494.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,783 : 13,163.02 = 7,669.62 : x
  2. Step 2: Convert to fraction form
    8,783/13,163.02 = 7,669.62/x
  3. Step 3: Cross multiply
    8,783x = 13,163.02 × 7,669.62
  4. Step 4: Simplify right side
    8,783x = 100,955,361.45
  5. Step 5: Solve for x
    x = 100,955,361.45/8,783
  6. Step 6: Final answer
    x = 11,494.41

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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.