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Finding the Fourth Proportional to 11,885.92, 17,816.50 and 3,982.48

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Solution

The fourth proportional to 11,885.92, 17,816.50 and 3,982.48 is: 5,969.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.92 : 17,816.50 = 3,982.48 : x
  2. Step 2: Convert to fraction form
    11,885.92/17,816.50 = 3,982.48/x
  3. Step 3: Cross multiply
    11,885.92x = 17,816.50 × 3,982.48
  4. Step 4: Simplify right side
    11,885.92x = 70,953,800.42
  5. Step 5: Solve for x
    x = 70,953,800.42/11,885.92
  6. Step 6: Final answer
    x = 5,969.57

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1.5x scale

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.