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Finding the Fourth Proportional to 10,608.96, 15,912 and 3,112.32

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Solution

The fourth proportional to 10,608.96, 15,912 and 3,112.32 is: 4,668.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,608.96 : 15,912 = 3,112.32 : x
  2. Step 2: Convert to fraction form
    10,608.96/15,912 = 3,112.32/x
  3. Step 3: Cross multiply
    10,608.96x = 15,912 × 3,112.32
  4. Step 4: Simplify right side
    10,608.96x = 49,523,235.84
  5. Step 5: Solve for x
    x = 49,523,235.84/10,608.96
  6. Step 6: Final answer
    x = 4,668.06

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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.