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Finding the Fourth Proportional to 11,920.16, 17,869.01 and 5,676.89

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Solution

The fourth proportional to 11,920.16, 17,869.01 and 5,676.89 is: 8,509.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.16 : 17,869.01 = 5,676.89 : x
  2. Step 2: Convert to fraction form
    11,920.16/17,869.01 = 5,676.89/x
  3. Step 3: Cross multiply
    11,920.16x = 17,869.01 × 5,676.89
  4. Step 4: Simplify right side
    11,920.16x = 101,440,286.45
  5. Step 5: Solve for x
    x = 101,440,286.45/11,920.16
  6. Step 6: Final answer
    x = 8,509.98

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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.