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Finding the Fourth Proportional to 2,809.62, 4,208.95 and 1,711.26

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Solution

The fourth proportional to 2,809.62, 4,208.95 and 1,711.26 is: 2,563.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.62 : 4,208.95 = 1,711.26 : x
  2. Step 2: Convert to fraction form
    2,809.62/4,208.95 = 1,711.26/x
  3. Step 3: Cross multiply
    2,809.62x = 4,208.95 × 1,711.26
  4. Step 4: Simplify right side
    2,809.62x = 7,202,607.78
  5. Step 5: Solve for x
    x = 7,202,607.78/2,809.62
  6. Step 6: Final answer
    x = 2,563.55

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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.