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Finding the Fourth Proportional to 12,031.84, 18,029.39 and 7,635.97

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Solution

The fourth proportional to 12,031.84, 18,029.39 and 7,635.97 is: 11,442.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031.84 : 18,029.39 = 7,635.97 : x
  2. Step 2: Convert to fraction form
    12,031.84/18,029.39 = 7,635.97/x
  3. Step 3: Cross multiply
    12,031.84x = 18,029.39 × 7,635.97
  4. Step 4: Simplify right side
    12,031.84x = 137,671,865.52
  5. Step 5: Solve for x
    x = 137,671,865.52/12,031.84
  6. Step 6: Final answer
    x = 11,442.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.