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Finding the Fourth Proportional to 11,660.49, 16,091.46 and 7,123.14

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Solution

The fourth proportional to 11,660.49, 16,091.46 and 7,123.14 is: 9,829.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.49 : 16,091.46 = 7,123.14 : x
  2. Step 2: Convert to fraction form
    11,660.49/16,091.46 = 7,123.14/x
  3. Step 3: Cross multiply
    11,660.49x = 16,091.46 × 7,123.14
  4. Step 4: Simplify right side
    11,660.49x = 114,621,722.38
  5. Step 5: Solve for x
    x = 114,621,722.38/11,660.49
  6. Step 6: Final answer
    x = 9,829.92

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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.