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Finding the Fourth Proportional to 1,827.50, 2,741.80 and 673.26

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Solution

The fourth proportional to 1,827.50, 2,741.80 and 673.26 is: 1,010.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.50 : 2,741.80 = 673.26 : x
  2. Step 2: Convert to fraction form
    1,827.50/2,741.80 = 673.26/x
  3. Step 3: Cross multiply
    1,827.50x = 2,741.80 × 673.26
  4. Step 4: Simplify right side
    1,827.50x = 1,845,944.27
  5. Step 5: Solve for x
    x = 1,845,944.27/1,827.50
  6. Step 6: Final answer
    x = 1,010.09

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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.