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Finding the Fourth Proportional to 2,732.81, 3,770.96 and 1,553.63

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Solution

The fourth proportional to 2,732.81, 3,770.96 and 1,553.63 is: 2,143.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.81 : 3,770.96 = 1,553.63 : x
  2. Step 2: Convert to fraction form
    2,732.81/3,770.96 = 1,553.63/x
  3. Step 3: Cross multiply
    2,732.81x = 3,770.96 × 1,553.63
  4. Step 4: Simplify right side
    2,732.81x = 5,858,649.96
  5. Step 5: Solve for x
    x = 5,858,649.96/2,732.81
  6. Step 6: Final answer
    x = 2,143.82

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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.