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Finding the Fourth Proportional to 1,809.12, 2,712.75 and 834.38

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Solution

The fourth proportional to 1,809.12, 2,712.75 and 834.38 is: 1,251.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.12 : 2,712.75 = 834.38 : x
  2. Step 2: Convert to fraction form
    1,809.12/2,712.75 = 834.38/x
  3. Step 3: Cross multiply
    1,809.12x = 2,712.75 × 834.38
  4. Step 4: Simplify right side
    1,809.12x = 2,263,464.35
  5. Step 5: Solve for x
    x = 2,263,464.35/1,809.12
  6. Step 6: Final answer
    x = 1,251.14

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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.