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Finding the Fourth Proportional to 2,872, 3,963.40 and 1,630

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Solution

The fourth proportional to 2,872, 3,963.40 and 1,630 is: 2,249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872 : 3,963.40 = 1,630 : x
  2. Step 2: Convert to fraction form
    2,872/3,963.40 = 1,630/x
  3. Step 3: Cross multiply
    2,872x = 3,963.40 × 1,630
  4. Step 4: Simplify right side
    2,872x = 6,460,342
  5. Step 5: Solve for x
    x = 6,460,342/2,872
  6. Step 6: Final answer
    x = 2,249.42

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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.