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Finding the Fourth Proportional to 5,289, 7,933.86 and 2,211

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Solution

The fourth proportional to 5,289, 7,933.86 and 2,211 is: 3,316.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289 : 7,933.86 = 2,211 : x
  2. Step 2: Convert to fraction form
    5,289/7,933.86 = 2,211/x
  3. Step 3: Cross multiply
    5,289x = 7,933.86 × 2,211
  4. Step 4: Simplify right side
    5,289x = 17,541,764.46
  5. Step 5: Solve for x
    x = 17,541,764.46/5,289
  6. Step 6: Final answer
    x = 3,316.65

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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.