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Finding the Fourth Proportional to 41,961, 62,941.50 and 12,777

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Solution

The fourth proportional to 41,961, 62,941.50 and 12,777 is: 19,165.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,961 : 62,941.50 = 12,777 : x
  2. Step 2: Convert to fraction form
    41,961/62,941.50 = 12,777/x
  3. Step 3: Cross multiply
    41,961x = 62,941.50 × 12,777
  4. Step 4: Simplify right side
    41,961x = 804,203,545.50
  5. Step 5: Solve for x
    x = 804,203,545.50/41,961
  6. Step 6: Final answer
    x = 19,165.50

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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.