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Finding the Fourth Proportional to 1,809.80, 2,711.73 and 1,742.38

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Solution

The fourth proportional to 1,809.80, 2,711.73 and 1,742.38 is: 2,610.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.80 : 2,711.73 = 1,742.38 : x
  2. Step 2: Convert to fraction form
    1,809.80/2,711.73 = 1,742.38/x
  3. Step 3: Cross multiply
    1,809.80x = 2,711.73 × 1,742.38
  4. Step 4: Simplify right side
    1,809.80x = 4,724,864.12
  5. Step 5: Solve for x
    x = 4,724,864.12/1,809.80
  6. Step 6: Final answer
    x = 2,610.71

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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.