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Finding the Fourth Proportional to 1,834.09, 2,747.68 and 909.14

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Solution

The fourth proportional to 1,834.09, 2,747.68 and 909.14 is: 1,362.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.09 : 2,747.68 = 909.14 : x
  2. Step 2: Convert to fraction form
    1,834.09/2,747.68 = 909.14/x
  3. Step 3: Cross multiply
    1,834.09x = 2,747.68 × 909.14
  4. Step 4: Simplify right side
    1,834.09x = 2,498,028.80
  5. Step 5: Solve for x
    x = 2,498,028.80/1,834.09
  6. Step 6: Final answer
    x = 1,362.00

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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.