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Finding the Fourth Proportional to 5,838.19, 8,051.73 and 3,949.27

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Solution

The fourth proportional to 5,838.19, 8,051.73 and 3,949.27 is: 5,446.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.19 : 8,051.73 = 3,949.27 : x
  2. Step 2: Convert to fraction form
    5,838.19/8,051.73 = 3,949.27/x
  3. Step 3: Cross multiply
    5,838.19x = 8,051.73 × 3,949.27
  4. Step 4: Simplify right side
    5,838.19x = 31,798,455.74
  5. Step 5: Solve for x
    x = 31,798,455.74/5,838.19
  6. Step 6: Final answer
    x = 5,446.63

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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.