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Finding the Fourth Proportional to 11,821.03, 16,313.07 and 7,105.39

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Solution

The fourth proportional to 11,821.03, 16,313.07 and 7,105.39 is: 9,805.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,821.03 : 16,313.07 = 7,105.39 : x
  2. Step 2: Convert to fraction form
    11,821.03/16,313.07 = 7,105.39/x
  3. Step 3: Cross multiply
    11,821.03x = 16,313.07 × 7,105.39
  4. Step 4: Simplify right side
    11,821.03x = 115,910,724.45
  5. Step 5: Solve for x
    x = 115,910,724.45/11,821.03
  6. Step 6: Final answer
    x = 9,805.47

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1.5x scale

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.