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Finding the Fourth Proportional to 13,765.98, 18,995.44 and 8,099.48

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Solution

The fourth proportional to 13,765.98, 18,995.44 and 8,099.48 is: 11,176.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.98 : 18,995.44 = 8,099.48 : x
  2. Step 2: Convert to fraction form
    13,765.98/18,995.44 = 8,099.48/x
  3. Step 3: Cross multiply
    13,765.98x = 18,995.44 × 8,099.48
  4. Step 4: Simplify right side
    13,765.98x = 153,853,098.39
  5. Step 5: Solve for x
    x = 153,853,098.39/13,765.98
  6. Step 6: Final answer
    x = 11,176.33

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1.5x scale

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.