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Finding the Fourth Proportional to 3,868.63, 5,333.72 and 3,159.73

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Solution

The fourth proportional to 3,868.63, 5,333.72 and 3,159.73 is: 4,356.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.63 : 5,333.72 = 3,159.73 : x
  2. Step 2: Convert to fraction form
    3,868.63/5,333.72 = 3,159.73/x
  3. Step 3: Cross multiply
    3,868.63x = 5,333.72 × 3,159.73
  4. Step 4: Simplify right side
    3,868.63x = 16,853,072.63
  5. Step 5: Solve for x
    x = 16,853,072.63/3,868.63
  6. Step 6: Final answer
    x = 4,356.35

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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.