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Finding the Fourth Proportional to 2,873.49, 3,966.42 and 1,811.99

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Solution

The fourth proportional to 2,873.49, 3,966.42 and 1,811.99 is: 2,501.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.49 : 3,966.42 = 1,811.99 : x
  2. Step 2: Convert to fraction form
    2,873.49/3,966.42 = 1,811.99/x
  3. Step 3: Cross multiply
    2,873.49x = 3,966.42 × 1,811.99
  4. Step 4: Simplify right side
    2,873.49x = 7,187,093.54
  5. Step 5: Solve for x
    x = 7,187,093.54/2,873.49
  6. Step 6: Final answer
    x = 2,501.17

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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.