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Finding the Fourth Proportional to 3,897.96, 5,869.88 and 2,809.98

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Solution

The fourth proportional to 3,897.96, 5,869.88 and 2,809.98 is: 4,231.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.96 : 5,869.88 = 2,809.98 : x
  2. Step 2: Convert to fraction form
    3,897.96/5,869.88 = 2,809.98/x
  3. Step 3: Cross multiply
    3,897.96x = 5,869.88 × 2,809.98
  4. Step 4: Simplify right side
    3,897.96x = 16,494,245.40
  5. Step 5: Solve for x
    x = 16,494,245.40/3,897.96
  6. Step 6: Final answer
    x = 4,231.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.