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Finding the Fourth Proportional to 1,834.14, 2,752.24 and 739.28

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Solution

The fourth proportional to 1,834.14, 2,752.24 and 739.28 is: 1,109.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.14 : 2,752.24 = 739.28 : x
  2. Step 2: Convert to fraction form
    1,834.14/2,752.24 = 739.28/x
  3. Step 3: Cross multiply
    1,834.14x = 2,752.24 × 739.28
  4. Step 4: Simplify right side
    1,834.14x = 2,034,662.23
  5. Step 5: Solve for x
    x = 2,034,662.23/1,834.14
  6. Step 6: Final answer
    x = 1,109.33

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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.