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Finding the Fourth Proportional to 11,393.72, 17,087.06 and 4,819.80

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Solution

The fourth proportional to 11,393.72, 17,087.06 and 4,819.80 is: 7,228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,393.72 : 17,087.06 = 4,819.80 : x
  2. Step 2: Convert to fraction form
    11,393.72/17,087.06 = 4,819.80/x
  3. Step 3: Cross multiply
    11,393.72x = 17,087.06 × 4,819.80
  4. Step 4: Simplify right side
    11,393.72x = 82,356,211.79
  5. Step 5: Solve for x
    x = 82,356,211.79/11,393.72
  6. Step 6: Final answer
    x = 7,228.21

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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.