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Finding the Fourth Proportional to 2,491.10, 3,736.86 and 642.20

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Solution

The fourth proportional to 2,491.10, 3,736.86 and 642.20 is: 963.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.10 : 3,736.86 = 642.20 : x
  2. Step 2: Convert to fraction form
    2,491.10/3,736.86 = 642.20/x
  3. Step 3: Cross multiply
    2,491.10x = 3,736.86 × 642.20
  4. Step 4: Simplify right side
    2,491.10x = 2,399,792.21
  5. Step 5: Solve for x
    x = 2,399,792.21/2,491.10
  6. Step 6: Final answer
    x = 963.35

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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.