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Finding the Fourth Proportional to 11,941, 17,911.50 and 4,645

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Solution

The fourth proportional to 11,941, 17,911.50 and 4,645 is: 6,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,941 : 17,911.50 = 4,645 : x
  2. Step 2: Convert to fraction form
    11,941/17,911.50 = 4,645/x
  3. Step 3: Cross multiply
    11,941x = 17,911.50 × 4,645
  4. Step 4: Simplify right side
    11,941x = 83,198,917.50
  5. Step 5: Solve for x
    x = 83,198,917.50/11,941
  6. Step 6: Final answer
    x = 6,967.50

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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.