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Finding the Fourth Proportional to 19,456, 26,850.54 and 11,072.50

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Solution

The fourth proportional to 19,456, 26,850.54 and 11,072.50 is: 15,280.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,456 : 26,850.54 = 11,072.50 : x
  2. Step 2: Convert to fraction form
    19,456/26,850.54 = 11,072.50/x
  3. Step 3: Cross multiply
    19,456x = 26,850.54 × 11,072.50
  4. Step 4: Simplify right side
    19,456x = 297,302,604.15
  5. Step 5: Solve for x
    x = 297,302,604.15/19,456
  6. Step 6: Final answer
    x = 15,280.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.