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Finding the Fourth Proportional to 5,157.79, 7,736.46 and 2,383.54

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Solution

The fourth proportional to 5,157.79, 7,736.46 and 2,383.54 is: 3,575.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.79 : 7,736.46 = 2,383.54 : x
  2. Step 2: Convert to fraction form
    5,157.79/7,736.46 = 2,383.54/x
  3. Step 3: Cross multiply
    5,157.79x = 7,736.46 × 2,383.54
  4. Step 4: Simplify right side
    5,157.79x = 18,440,161.87
  5. Step 5: Solve for x
    x = 18,440,161.87/5,157.79
  6. Step 6: Final answer
    x = 3,575.21

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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.