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Finding the Fourth Proportional to 8,783.64, 13,163.94 and 3,586.68

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Solution

The fourth proportional to 8,783.64, 13,163.94 and 3,586.68 is: 5,375.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,783.64 : 13,163.94 = 3,586.68 : x
  2. Step 2: Convert to fraction form
    8,783.64/13,163.94 = 3,586.68/x
  3. Step 3: Cross multiply
    8,783.64x = 13,163.94 × 3,586.68
  4. Step 4: Simplify right side
    8,783.64x = 47,214,840.32
  5. Step 5: Solve for x
    x = 47,214,840.32/8,783.64
  6. Step 6: Final answer
    x = 5,375.32

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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.