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Finding the Fourth Proportional to 11,920.96, 17,855.52 and 5,752

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Solution

The fourth proportional to 11,920.96, 17,855.52 and 5,752 is: 8,615.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.96 : 17,855.52 = 5,752 : x
  2. Step 2: Convert to fraction form
    11,920.96/17,855.52 = 5,752/x
  3. Step 3: Cross multiply
    11,920.96x = 17,855.52 × 5,752
  4. Step 4: Simplify right side
    11,920.96x = 102,704,951.04
  5. Step 5: Solve for x
    x = 102,704,951.04/11,920.96
  6. Step 6: Final answer
    x = 8,615.49

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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.