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Finding the Fourth Proportional to 18,955.74, 26,161.24 and 11,406

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Solution

The fourth proportional to 18,955.74, 26,161.24 and 11,406 is: 15,741.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,955.74 : 26,161.24 = 11,406 : x
  2. Step 2: Convert to fraction form
    18,955.74/26,161.24 = 11,406/x
  3. Step 3: Cross multiply
    18,955.74x = 26,161.24 × 11,406
  4. Step 4: Simplify right side
    18,955.74x = 298,395,103.44
  5. Step 5: Solve for x
    x = 298,395,103.44/18,955.74
  6. Step 6: Final answer
    x = 15,741.68

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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.