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Finding the Fourth Proportional to 19,608.16, 29,412 and 9,212.56

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Solution

The fourth proportional to 19,608.16, 29,412 and 9,212.56 is: 13,818.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,608.16 : 29,412 = 9,212.56 : x
  2. Step 2: Convert to fraction form
    19,608.16/29,412 = 9,212.56/x
  3. Step 3: Cross multiply
    19,608.16x = 29,412 × 9,212.56
  4. Step 4: Simplify right side
    19,608.16x = 270,959,814.72
  5. Step 5: Solve for x
    x = 270,959,814.72/19,608.16
  6. Step 6: Final answer
    x = 13,818.73

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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.