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Finding the Fourth Proportional to 21,735.96, 32,608.61 and 12,380.46

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Solution

The fourth proportional to 21,735.96, 32,608.61 and 12,380.46 is: 18,573.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,735.96 : 32,608.61 = 12,380.46 : x
  2. Step 2: Convert to fraction form
    21,735.96/32,608.61 = 12,380.46/x
  3. Step 3: Cross multiply
    21,735.96x = 32,608.61 × 12,380.46
  4. Step 4: Simplify right side
    21,735.96x = 403,709,529.86
  5. Step 5: Solve for x
    x = 403,709,529.86/21,735.96
  6. Step 6: Final answer
    x = 18,573.35

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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.