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Finding the Fourth Proportional to 5,703.86, 7,871.09 and 3,185.96

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Solution

The fourth proportional to 5,703.86, 7,871.09 and 3,185.96 is: 4,396.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.86 : 7,871.09 = 3,185.96 : x
  2. Step 2: Convert to fraction form
    5,703.86/7,871.09 = 3,185.96/x
  3. Step 3: Cross multiply
    5,703.86x = 7,871.09 × 3,185.96
  4. Step 4: Simplify right side
    5,703.86x = 25,076,922.61
  5. Step 5: Solve for x
    x = 25,076,922.61/5,703.86
  6. Step 6: Final answer
    x = 4,396.49

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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.