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Finding the Fourth Proportional to 2,732.69, 3,774.26 and 1,989.97

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Solution

The fourth proportional to 2,732.69, 3,774.26 and 1,989.97 is: 2,748.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.69 : 3,774.26 = 1,989.97 : x
  2. Step 2: Convert to fraction form
    2,732.69/3,774.26 = 1,989.97/x
  3. Step 3: Cross multiply
    2,732.69x = 3,774.26 × 1,989.97
  4. Step 4: Simplify right side
    2,732.69x = 7,510,664.17
  5. Step 5: Solve for x
    x = 7,510,664.17/2,732.69
  6. Step 6: Final answer
    x = 2,748.45

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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.