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Finding the Fourth Proportional to 3,163.32, 4,363.38 and 1,968.98

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Solution

The fourth proportional to 3,163.32, 4,363.38 and 1,968.98 is: 2,715.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.32 : 4,363.38 = 1,968.98 : x
  2. Step 2: Convert to fraction form
    3,163.32/4,363.38 = 1,968.98/x
  3. Step 3: Cross multiply
    3,163.32x = 4,363.38 × 1,968.98
  4. Step 4: Simplify right side
    3,163.32x = 8,591,386.14
  5. Step 5: Solve for x
    x = 8,591,386.14/3,163.32
  6. Step 6: Final answer
    x = 2,715.94

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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.