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Finding the Fourth Proportional to 12,638.98, 18,952.23 and 7,375.90

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Solution

The fourth proportional to 12,638.98, 18,952.23 and 7,375.90 is: 11,060.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.98 : 18,952.23 = 7,375.90 : x
  2. Step 2: Convert to fraction form
    12,638.98/18,952.23 = 7,375.90/x
  3. Step 3: Cross multiply
    12,638.98x = 18,952.23 × 7,375.90
  4. Step 4: Simplify right side
    12,638.98x = 139,789,658.50
  5. Step 5: Solve for x
    x = 139,789,658.50/12,638.98
  6. Step 6: Final answer
    x = 11,060.21

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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.