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Finding the Fourth Proportional to 21,676.41, 32,519.21 and 7,635.87

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Solution

The fourth proportional to 21,676.41, 32,519.21 and 7,635.87 is: 11,455.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,676.41 : 32,519.21 = 7,635.87 : x
  2. Step 2: Convert to fraction form
    21,676.41/32,519.21 = 7,635.87/x
  3. Step 3: Cross multiply
    21,676.41x = 32,519.21 × 7,635.87
  4. Step 4: Simplify right side
    21,676.41x = 248,312,421.88
  5. Step 5: Solve for x
    x = 248,312,421.88/21,676.41
  6. Step 6: Final answer
    x = 11,455.42

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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.