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Finding the Fourth Proportional to 11,821, 17,731.50 and 4,029.88

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Solution

The fourth proportional to 11,821, 17,731.50 and 4,029.88 is: 6,044.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,821 : 17,731.50 = 4,029.88 : x
  2. Step 2: Convert to fraction form
    11,821/17,731.50 = 4,029.88/x
  3. Step 3: Cross multiply
    11,821x = 17,731.50 × 4,029.88
  4. Step 4: Simplify right side
    11,821x = 71,455,817.22
  5. Step 5: Solve for x
    x = 71,455,817.22/11,821
  6. Step 6: Final answer
    x = 6,044.82

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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.