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Finding the Fourth Proportional to 11,267.80, 15,813.80 and 11,267.80

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Solution

The fourth proportional to 11,267.80, 15,813.80 and 11,267.80 is: 15,813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,267.80 : 15,813.80 = 11,267.80 : x
  2. Step 2: Convert to fraction form
    11,267.80/15,813.80 = 11,267.80/x
  3. Step 3: Cross multiply
    11,267.80x = 15,813.80 × 11,267.80
  4. Step 4: Simplify right side
    11,267.80x = 178,186,735.64
  5. Step 5: Solve for x
    x = 178,186,735.64/11,267.80
  6. Step 6: Final answer
    x = 15,813.80

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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.