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Finding the Fourth Proportional to 3,809.98, 5,715.42 and 1,617.49

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Solution

The fourth proportional to 3,809.98, 5,715.42 and 1,617.49 is: 2,426.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.98 : 5,715.42 = 1,617.49 : x
  2. Step 2: Convert to fraction form
    3,809.98/5,715.42 = 1,617.49/x
  3. Step 3: Cross multiply
    3,809.98x = 5,715.42 × 1,617.49
  4. Step 4: Simplify right side
    3,809.98x = 9,244,634.70
  5. Step 5: Solve for x
    x = 9,244,634.70/3,809.98
  6. Step 6: Final answer
    x = 2,426.43

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1.5x scale

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.