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Finding the Fourth Proportional to 2,886.20, 3,983.02 and 1,627.20

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Solution

The fourth proportional to 2,886.20, 3,983.02 and 1,627.20 is: 2,245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.20 : 3,983.02 = 1,627.20 : x
  2. Step 2: Convert to fraction form
    2,886.20/3,983.02 = 1,627.20/x
  3. Step 3: Cross multiply
    2,886.20x = 3,983.02 × 1,627.20
  4. Step 4: Simplify right side
    2,886.20x = 6,481,170.14
  5. Step 5: Solve for x
    x = 6,481,170.14/2,886.20
  6. Step 6: Final answer
    x = 2,245.57

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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.