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Finding the Fourth Proportional to 3,843.86, 5,304.80 and 2,142.63

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Solution

The fourth proportional to 3,843.86, 5,304.80 and 2,142.63 is: 2,956.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.86 : 5,304.80 = 2,142.63 : x
  2. Step 2: Convert to fraction form
    3,843.86/5,304.80 = 2,142.63/x
  3. Step 3: Cross multiply
    3,843.86x = 5,304.80 × 2,142.63
  4. Step 4: Simplify right side
    3,843.86x = 11,366,212.91
  5. Step 5: Solve for x
    x = 11,366,212.91/3,843.86
  6. Step 6: Final answer
    x = 2,956.98

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1.5x scale

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.