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Finding the Fourth Proportional to 10,764.64, 16,148.50 and 5,213.42

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Solution

The fourth proportional to 10,764.64, 16,148.50 and 5,213.42 is: 7,820.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,764.64 : 16,148.50 = 5,213.42 : x
  2. Step 2: Convert to fraction form
    10,764.64/16,148.50 = 5,213.42/x
  3. Step 3: Cross multiply
    10,764.64x = 16,148.50 × 5,213.42
  4. Step 4: Simplify right side
    10,764.64x = 84,188,912.87
  5. Step 5: Solve for x
    x = 84,188,912.87/10,764.64
  6. Step 6: Final answer
    x = 7,820.88

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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.