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Finding the Fourth Proportional to 3,286, 4,534.68 and 2,239.88

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Solution

The fourth proportional to 3,286, 4,534.68 and 2,239.88 is: 3,091.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286 : 4,534.68 = 2,239.88 : x
  2. Step 2: Convert to fraction form
    3,286/4,534.68 = 2,239.88/x
  3. Step 3: Cross multiply
    3,286x = 4,534.68 × 2,239.88
  4. Step 4: Simplify right side
    3,286x = 10,157,139.04
  5. Step 5: Solve for x
    x = 10,157,139.04/3,286
  6. Step 6: Final answer
    x = 3,091.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.