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Finding the Fourth Proportional to 21,632.89, 32,447.80 and 5,838.82

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Solution

The fourth proportional to 21,632.89, 32,447.80 and 5,838.82 is: 8,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,632.89 : 32,447.80 = 5,838.82 : x
  2. Step 2: Convert to fraction form
    21,632.89/32,447.80 = 5,838.82/x
  3. Step 3: Cross multiply
    21,632.89x = 32,447.80 × 5,838.82
  4. Step 4: Simplify right side
    21,632.89x = 189,457,015.64
  5. Step 5: Solve for x
    x = 189,457,015.64/21,632.89
  6. Step 6: Final answer
    x = 8,757.82

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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.