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Finding the Fourth Proportional to 5,717.86, 7,890.14 and 3,199.64

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Solution

The fourth proportional to 5,717.86, 7,890.14 and 3,199.64 is: 4,415.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.86 : 7,890.14 = 3,199.64 : x
  2. Step 2: Convert to fraction form
    5,717.86/7,890.14 = 3,199.64/x
  3. Step 3: Cross multiply
    5,717.86x = 7,890.14 × 3,199.64
  4. Step 4: Simplify right side
    5,717.86x = 25,245,576.10
  5. Step 5: Solve for x
    x = 25,245,576.10/5,717.86
  6. Step 6: Final answer
    x = 4,415.22

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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.