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Finding the Fourth Proportional to 3,141.63, 4,333.49 and 2,020.63

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Solution

The fourth proportional to 3,141.63, 4,333.49 and 2,020.63 is: 2,787.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.63 : 4,333.49 = 2,020.63 : x
  2. Step 2: Convert to fraction form
    3,141.63/4,333.49 = 2,020.63/x
  3. Step 3: Cross multiply
    3,141.63x = 4,333.49 × 2,020.63
  4. Step 4: Simplify right side
    3,141.63x = 8,756,358.23
  5. Step 5: Solve for x
    x = 8,756,358.23/3,141.63
  6. Step 6: Final answer
    x = 2,787.20

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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.