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Finding the Fourth Proportional to 5,157.43, 7,729.22 and 2,813.93

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Solution

The fourth proportional to 5,157.43, 7,729.22 and 2,813.93 is: 4,217.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.43 : 7,729.22 = 2,813.93 : x
  2. Step 2: Convert to fraction form
    5,157.43/7,729.22 = 2,813.93/x
  3. Step 3: Cross multiply
    5,157.43x = 7,729.22 × 2,813.93
  4. Step 4: Simplify right side
    5,157.43x = 21,749,438.35
  5. Step 5: Solve for x
    x = 21,749,438.35/5,157.43
  6. Step 6: Final answer
    x = 4,217.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.