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Finding the Fourth Proportional to 1,811.81, 2,713.29 and 1,636.51

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Solution

The fourth proportional to 1,811.81, 2,713.29 and 1,636.51 is: 2,450.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.81 : 2,713.29 = 1,636.51 : x
  2. Step 2: Convert to fraction form
    1,811.81/2,713.29 = 1,636.51/x
  3. Step 3: Cross multiply
    1,811.81x = 2,713.29 × 1,636.51
  4. Step 4: Simplify right side
    1,811.81x = 4,440,318.04
  5. Step 5: Solve for x
    x = 4,440,318.04/1,811.81
  6. Step 6: Final answer
    x = 2,450.76

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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.