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Finding the Fourth Proportional to 12,694.88, 19,043.88 and 3,930.50

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Solution

The fourth proportional to 12,694.88, 19,043.88 and 3,930.50 is: 5,896.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.88 : 19,043.88 = 3,930.50 : x
  2. Step 2: Convert to fraction form
    12,694.88/19,043.88 = 3,930.50/x
  3. Step 3: Cross multiply
    12,694.88x = 19,043.88 × 3,930.50
  4. Step 4: Simplify right side
    12,694.88x = 74,851,970.34
  5. Step 5: Solve for x
    x = 74,851,970.34/12,694.88
  6. Step 6: Final answer
    x = 5,896.23

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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.