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Finding the Fourth Proportional to 5,983.68, 8,963.60 and 3,640.80

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Solution

The fourth proportional to 5,983.68, 8,963.60 and 3,640.80 is: 5,453.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.68 : 8,963.60 = 3,640.80 : x
  2. Step 2: Convert to fraction form
    5,983.68/8,963.60 = 3,640.80/x
  3. Step 3: Cross multiply
    5,983.68x = 8,963.60 × 3,640.80
  4. Step 4: Simplify right side
    5,983.68x = 32,634,674.88
  5. Step 5: Solve for x
    x = 32,634,674.88/5,983.68
  6. Step 6: Final answer
    x = 5,453.95

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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.