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Finding the Fourth Proportional to 5,219.43, 7,829.43 and 1,323.87

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Solution

The fourth proportional to 5,219.43, 7,829.43 and 1,323.87 is: 1,985.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.43 : 7,829.43 = 1,323.87 : x
  2. Step 2: Convert to fraction form
    5,219.43/7,829.43 = 1,323.87/x
  3. Step 3: Cross multiply
    5,219.43x = 7,829.43 × 1,323.87
  4. Step 4: Simplify right side
    5,219.43x = 10,365,147.49
  5. Step 5: Solve for x
    x = 10,365,147.49/5,219.43
  6. Step 6: Final answer
    x = 1,985.88

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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.