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Finding the Fourth Proportional to 5,108, 7,051.98 and 3,863.84

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Solution

The fourth proportional to 5,108, 7,051.98 and 3,863.84 is: 5,334.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108 : 7,051.98 = 3,863.84 : x
  2. Step 2: Convert to fraction form
    5,108/7,051.98 = 3,863.84/x
  3. Step 3: Cross multiply
    5,108x = 7,051.98 × 3,863.84
  4. Step 4: Simplify right side
    5,108x = 27,247,722.40
  5. Step 5: Solve for x
    x = 27,247,722.40/5,108
  6. Step 6: Final answer
    x = 5,334.32

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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.