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Finding the Fourth Proportional to 1,828.69, 2,741.40 and 674.17

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Solution

The fourth proportional to 1,828.69, 2,741.40 and 674.17 is: 1,010.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.69 : 2,741.40 = 674.17 : x
  2. Step 2: Convert to fraction form
    1,828.69/2,741.40 = 674.17/x
  3. Step 3: Cross multiply
    1,828.69x = 2,741.40 × 674.17
  4. Step 4: Simplify right side
    1,828.69x = 1,848,169.64
  5. Step 5: Solve for x
    x = 1,848,169.64/1,828.69
  6. Step 6: Final answer
    x = 1,010.65

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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.