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Finding the Fourth Proportional to 11,147.50, 16,722.06 and 4,222

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Solution

The fourth proportional to 11,147.50, 16,722.06 and 4,222 is: 6,333.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147.50 : 16,722.06 = 4,222 : x
  2. Step 2: Convert to fraction form
    11,147.50/16,722.06 = 4,222/x
  3. Step 3: Cross multiply
    11,147.50x = 16,722.06 × 4,222
  4. Step 4: Simplify right side
    11,147.50x = 70,600,537.32
  5. Step 5: Solve for x
    x = 70,600,537.32/11,147.50
  6. Step 6: Final answer
    x = 6,333.31

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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.