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Finding the Fourth Proportional to 13,256.56, 19,879.92 and 3,894

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Solution

The fourth proportional to 13,256.56, 19,879.92 and 3,894 is: 5,839.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,256.56 : 19,879.92 = 3,894 : x
  2. Step 2: Convert to fraction form
    13,256.56/19,879.92 = 3,894/x
  3. Step 3: Cross multiply
    13,256.56x = 19,879.92 × 3,894
  4. Step 4: Simplify right side
    13,256.56x = 77,412,408.48
  5. Step 5: Solve for x
    x = 77,412,408.48/13,256.56
  6. Step 6: Final answer
    x = 5,839.55

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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.