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Finding the Fourth Proportional to 12,963.78, 19,453.23 and 5,466.89

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Solution

The fourth proportional to 12,963.78, 19,453.23 and 5,466.89 is: 8,203.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963.78 : 19,453.23 = 5,466.89 : x
  2. Step 2: Convert to fraction form
    12,963.78/19,453.23 = 5,466.89/x
  3. Step 3: Cross multiply
    12,963.78x = 19,453.23 × 5,466.89
  4. Step 4: Simplify right side
    12,963.78x = 106,348,571.29
  5. Step 5: Solve for x
    x = 106,348,571.29/12,963.78
  6. Step 6: Final answer
    x = 8,203.52

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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.