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Finding the Fourth Proportional to 2,491.05, 3,736.79 and 642.15

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Solution

The fourth proportional to 2,491.05, 3,736.79 and 642.15 is: 963.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.05 : 3,736.79 = 642.15 : x
  2. Step 2: Convert to fraction form
    2,491.05/3,736.79 = 642.15/x
  3. Step 3: Cross multiply
    2,491.05x = 3,736.79 × 642.15
  4. Step 4: Simplify right side
    2,491.05x = 2,399,576.49
  5. Step 5: Solve for x
    x = 2,399,576.49/2,491.05
  6. Step 6: Final answer
    x = 963.28

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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.