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Finding the Fourth Proportional to 6,293, 9,439.54 and 2,189

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Solution

The fourth proportional to 6,293, 9,439.54 and 2,189 is: 3,283.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293 : 9,439.54 = 2,189 : x
  2. Step 2: Convert to fraction form
    6,293/9,439.54 = 2,189/x
  3. Step 3: Cross multiply
    6,293x = 9,439.54 × 2,189
  4. Step 4: Simplify right side
    6,293x = 20,663,153.06
  5. Step 5: Solve for x
    x = 20,663,153.06/6,293
  6. Step 6: Final answer
    x = 3,283.51

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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.