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Finding the Fourth Proportional to 11,958.81, 16,503.93 and 7,986.57

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Solution

The fourth proportional to 11,958.81, 16,503.93 and 7,986.57 is: 11,021.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,958.81 : 16,503.93 = 7,986.57 : x
  2. Step 2: Convert to fraction form
    11,958.81/16,503.93 = 7,986.57/x
  3. Step 3: Cross multiply
    11,958.81x = 16,503.93 × 7,986.57
  4. Step 4: Simplify right side
    11,958.81x = 131,809,792.22
  5. Step 5: Solve for x
    x = 131,809,792.22/11,958.81
  6. Step 6: Final answer
    x = 11,021.98

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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.