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Finding the Fourth Proportional to 11,231.80, 15,693.80 and 11,231.80

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Solution

The fourth proportional to 11,231.80, 15,693.80 and 11,231.80 is: 15,693.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,231.80 : 15,693.80 = 11,231.80 : x
  2. Step 2: Convert to fraction form
    11,231.80/15,693.80 = 11,231.80/x
  3. Step 3: Cross multiply
    11,231.80x = 15,693.80 × 11,231.80
  4. Step 4: Simplify right side
    11,231.80x = 176,269,622.84
  5. Step 5: Solve for x
    x = 176,269,622.84/11,231.80
  6. Step 6: Final answer
    x = 15,693.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.