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Finding the Fourth Proportional to 13,406.17, 18,501 and 8,099.97

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Solution

The fourth proportional to 13,406.17, 18,501 and 8,099.97 is: 11,178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.17 : 18,501 = 8,099.97 : x
  2. Step 2: Convert to fraction form
    13,406.17/18,501 = 8,099.97/x
  3. Step 3: Cross multiply
    13,406.17x = 18,501 × 8,099.97
  4. Step 4: Simplify right side
    13,406.17x = 149,857,544.97
  5. Step 5: Solve for x
    x = 149,857,544.97/13,406.17
  6. Step 6: Final answer
    x = 11,178.25

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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.