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Finding the Fourth Proportional to 1,998.29, 2,760.32 and 1,811.99

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Solution

The fourth proportional to 1,998.29, 2,760.32 and 1,811.99 is: 2,502.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.29 : 2,760.32 = 1,811.99 : x
  2. Step 2: Convert to fraction form
    1,998.29/2,760.32 = 1,811.99/x
  3. Step 3: Cross multiply
    1,998.29x = 2,760.32 × 1,811.99
  4. Step 4: Simplify right side
    1,998.29x = 5,001,662.97
  5. Step 5: Solve for x
    x = 5,001,662.97/1,998.29
  6. Step 6: Final answer
    x = 2,502.98

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1.5x scale

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.