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Finding the Fourth Proportional to 5,223.96, 7,829.46 and 2,627.64

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Solution

The fourth proportional to 5,223.96, 7,829.46 and 2,627.64 is: 3,938.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.96 : 7,829.46 = 2,627.64 : x
  2. Step 2: Convert to fraction form
    5,223.96/7,829.46 = 2,627.64/x
  3. Step 3: Cross multiply
    5,223.96x = 7,829.46 × 2,627.64
  4. Step 4: Simplify right side
    5,223.96x = 20,573,002.27
  5. Step 5: Solve for x
    x = 20,573,002.27/5,223.96
  6. Step 6: Final answer
    x = 3,938.20

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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.