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Finding the Fourth Proportional to 5,203.88, 7,805.82 and 2,125.88

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Solution

The fourth proportional to 5,203.88, 7,805.82 and 2,125.88 is: 3,188.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.88 : 7,805.82 = 2,125.88 : x
  2. Step 2: Convert to fraction form
    5,203.88/7,805.82 = 2,125.88/x
  3. Step 3: Cross multiply
    5,203.88x = 7,805.82 × 2,125.88
  4. Step 4: Simplify right side
    5,203.88x = 16,594,197.59
  5. Step 5: Solve for x
    x = 16,594,197.59/5,203.88
  6. Step 6: Final answer
    x = 3,188.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.