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Finding the Fourth Proportional to 11,972, 17,956.62 and 4,576.29

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Solution

The fourth proportional to 11,972, 17,956.62 and 4,576.29 is: 6,863.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,972 : 17,956.62 = 4,576.29 : x
  2. Step 2: Convert to fraction form
    11,972/17,956.62 = 4,576.29/x
  3. Step 3: Cross multiply
    11,972x = 17,956.62 × 4,576.29
  4. Step 4: Simplify right side
    11,972x = 82,174,700.54
  5. Step 5: Solve for x
    x = 82,174,700.54/11,972
  6. Step 6: Final answer
    x = 6,863.91

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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.