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Finding the Fourth Proportional to 13,295.88, 18,355.68 and 7,992

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Solution

The fourth proportional to 13,295.88, 18,355.68 and 7,992 is: 11,033.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,295.88 : 18,355.68 = 7,992 : x
  2. Step 2: Convert to fraction form
    13,295.88/18,355.68 = 7,992/x
  3. Step 3: Cross multiply
    13,295.88x = 18,355.68 × 7,992
  4. Step 4: Simplify right side
    13,295.88x = 146,698,594.56
  5. Step 5: Solve for x
    x = 146,698,594.56/13,295.88
  6. Step 6: Final answer
    x = 11,033.39

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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.