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Finding the Fourth Proportional to 18,266.86, 27,405.69 and 7,731.46

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Solution

The fourth proportional to 18,266.86, 27,405.69 and 7,731.46 is: 11,599.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,266.86 : 27,405.69 = 7,731.46 : x
  2. Step 2: Convert to fraction form
    18,266.86/27,405.69 = 7,731.46/x
  3. Step 3: Cross multiply
    18,266.86x = 27,405.69 × 7,731.46
  4. Step 4: Simplify right side
    18,266.86x = 211,885,996.01
  5. Step 5: Solve for x
    x = 211,885,996.01/18,266.86
  6. Step 6: Final answer
    x = 11,599.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.