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Finding the Fourth Proportional to 5,661.56, 8,491.86 and 1,963.16

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Solution

The fourth proportional to 5,661.56, 8,491.86 and 1,963.16 is: 2,944.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.56 : 8,491.86 = 1,963.16 : x
  2. Step 2: Convert to fraction form
    5,661.56/8,491.86 = 1,963.16/x
  3. Step 3: Cross multiply
    5,661.56x = 8,491.86 × 1,963.16
  4. Step 4: Simplify right side
    5,661.56x = 16,670,879.88
  5. Step 5: Solve for x
    x = 16,670,879.88/5,661.56
  6. Step 6: Final answer
    x = 2,944.57

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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.