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Finding the Fourth Proportional to 3,136.66, 4,327.41 and 1,809.88

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Solution

The fourth proportional to 3,136.66, 4,327.41 and 1,809.88 is: 2,496.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.66 : 4,327.41 = 1,809.88 : x
  2. Step 2: Convert to fraction form
    3,136.66/4,327.41 = 1,809.88/x
  3. Step 3: Cross multiply
    3,136.66x = 4,327.41 × 1,809.88
  4. Step 4: Simplify right side
    3,136.66x = 7,832,092.81
  5. Step 5: Solve for x
    x = 7,832,092.81/3,136.66
  6. Step 6: Final answer
    x = 2,496.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.