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Finding the Fourth Proportional to 3,716.93, 5,124.87 and 3,211.88

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Solution

The fourth proportional to 3,716.93, 5,124.87 and 3,211.88 is: 4,428.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.93 : 5,124.87 = 3,211.88 : x
  2. Step 2: Convert to fraction form
    3,716.93/5,124.87 = 3,211.88/x
  3. Step 3: Cross multiply
    3,716.93x = 5,124.87 × 3,211.88
  4. Step 4: Simplify right side
    3,716.93x = 16,460,441.83
  5. Step 5: Solve for x
    x = 16,460,441.83/3,716.93
  6. Step 6: Final answer
    x = 4,428.51

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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.