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Finding the Fourth Proportional to 28,608.96, 42,912 and 7,832.64

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Solution

The fourth proportional to 28,608.96, 42,912 and 7,832.64 is: 11,748.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,608.96 : 42,912 = 7,832.64 : x
  2. Step 2: Convert to fraction form
    28,608.96/42,912 = 7,832.64/x
  3. Step 3: Cross multiply
    28,608.96x = 42,912 × 7,832.64
  4. Step 4: Simplify right side
    28,608.96x = 336,114,247.68
  5. Step 5: Solve for x
    x = 336,114,247.68/28,608.96
  6. Step 6: Final answer
    x = 11,748.57

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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.