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Finding the Fourth Proportional to 1,834.69, 2,749.96 and 910.89

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Solution

The fourth proportional to 1,834.69, 2,749.96 and 910.89 is: 1,365.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.69 : 2,749.96 = 910.89 : x
  2. Step 2: Convert to fraction form
    1,834.69/2,749.96 = 910.89/x
  3. Step 3: Cross multiply
    1,834.69x = 2,749.96 × 910.89
  4. Step 4: Simplify right side
    1,834.69x = 2,504,911.06
  5. Step 5: Solve for x
    x = 2,504,911.06/1,834.69
  6. Step 6: Final answer
    x = 1,365.30

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1.5x scale

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.