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Finding the Fourth Proportional to 13,940.56, 19,246.98 and 8,641

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Solution

The fourth proportional to 13,940.56, 19,246.98 and 8,641 is: 11,930.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940.56 : 19,246.98 = 8,641 : x
  2. Step 2: Convert to fraction form
    13,940.56/19,246.98 = 8,641/x
  3. Step 3: Cross multiply
    13,940.56x = 19,246.98 × 8,641
  4. Step 4: Simplify right side
    13,940.56x = 166,313,154.18
  5. Step 5: Solve for x
    x = 166,313,154.18/13,940.56
  6. Step 6: Final answer
    x = 11,930.16

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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.