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Finding the Fourth Proportional to 21,783.60, 32,652 and 8,617.68

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Solution

The fourth proportional to 21,783.60, 32,652 and 8,617.68 is: 12,917.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,783.60 : 32,652 = 8,617.68 : x
  2. Step 2: Convert to fraction form
    21,783.60/32,652 = 8,617.68/x
  3. Step 3: Cross multiply
    21,783.60x = 32,652 × 8,617.68
  4. Step 4: Simplify right side
    21,783.60x = 281,384,487.36
  5. Step 5: Solve for x
    x = 281,384,487.36/21,783.60
  6. Step 6: Final answer
    x = 12,917.26

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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.