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Finding the Fourth Proportional to 2,732.51, 3,775.80 and 1,945.19

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Solution

The fourth proportional to 2,732.51, 3,775.80 and 1,945.19 is: 2,687.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.51 : 3,775.80 = 1,945.19 : x
  2. Step 2: Convert to fraction form
    2,732.51/3,775.80 = 1,945.19/x
  3. Step 3: Cross multiply
    2,732.51x = 3,775.80 × 1,945.19
  4. Step 4: Simplify right side
    2,732.51x = 7,344,629.52
  5. Step 5: Solve for x
    x = 7,344,629.52/2,732.51
  6. Step 6: Final answer
    x = 2,687.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.