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Finding the Fourth Proportional to 5,213.57, 7,812.99 and 2,743.40

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Solution

The fourth proportional to 5,213.57, 7,812.99 and 2,743.40 is: 4,111.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.57 : 7,812.99 = 2,743.40 : x
  2. Step 2: Convert to fraction form
    5,213.57/7,812.99 = 2,743.40/x
  3. Step 3: Cross multiply
    5,213.57x = 7,812.99 × 2,743.40
  4. Step 4: Simplify right side
    5,213.57x = 21,434,176.30
  5. Step 5: Solve for x
    x = 21,434,176.30/5,213.57
  6. Step 6: Final answer
    x = 4,111.23

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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.