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Finding the Fourth Proportional to 2,649.23, 3,978.08 and 2,186

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Solution

The fourth proportional to 2,649.23, 3,978.08 and 2,186 is: 3,282.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.23 : 3,978.08 = 2,186 : x
  2. Step 2: Convert to fraction form
    2,649.23/3,978.08 = 2,186/x
  3. Step 3: Cross multiply
    2,649.23x = 3,978.08 × 2,186
  4. Step 4: Simplify right side
    2,649.23x = 8,696,082.88
  5. Step 5: Solve for x
    x = 8,696,082.88/2,649.23
  6. Step 6: Final answer
    x = 3,282.49

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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.