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Finding the Fourth Proportional to 19,057.32, 28,578.36 and 7,956.48

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Solution

The fourth proportional to 19,057.32, 28,578.36 and 7,956.48 is: 11,931.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,057.32 : 28,578.36 = 7,956.48 : x
  2. Step 2: Convert to fraction form
    19,057.32/28,578.36 = 7,956.48/x
  3. Step 3: Cross multiply
    19,057.32x = 28,578.36 × 7,956.48
  4. Step 4: Simplify right side
    19,057.32x = 227,383,149.77
  5. Step 5: Solve for x
    x = 227,383,149.77/19,057.32
  6. Step 6: Final answer
    x = 11,931.54

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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.