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Finding the Fourth Proportional to 18,971.40, 26,181.16 and 11,013.14

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Solution

The fourth proportional to 18,971.40, 26,181.16 and 11,013.14 is: 15,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,971.40 : 26,181.16 = 11,013.14 : x
  2. Step 2: Convert to fraction form
    18,971.40/26,181.16 = 11,013.14/x
  3. Step 3: Cross multiply
    18,971.40x = 26,181.16 × 11,013.14
  4. Step 4: Simplify right side
    18,971.40x = 288,336,780.44
  5. Step 5: Solve for x
    x = 288,336,780.44/18,971.40
  6. Step 6: Final answer
    x = 15,198.50

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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.