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Finding the Fourth Proportional to 3,801.98, 5,245.79 and 2,309.96

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Solution

The fourth proportional to 3,801.98, 5,245.79 and 2,309.96 is: 3,187.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.98 : 5,245.79 = 2,309.96 : x
  2. Step 2: Convert to fraction form
    3,801.98/5,245.79 = 2,309.96/x
  3. Step 3: Cross multiply
    3,801.98x = 5,245.79 × 2,309.96
  4. Step 4: Simplify right side
    3,801.98x = 12,117,566.63
  5. Step 5: Solve for x
    x = 12,117,566.63/3,801.98
  6. Step 6: Final answer
    x = 3,187.17

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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.