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Finding the Fourth Proportional to 5,163.64, 7,740.50 and 3,309.56

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Solution

The fourth proportional to 5,163.64, 7,740.50 and 3,309.56 is: 4,961.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.64 : 7,740.50 = 3,309.56 : x
  2. Step 2: Convert to fraction form
    5,163.64/7,740.50 = 3,309.56/x
  3. Step 3: Cross multiply
    5,163.64x = 7,740.50 × 3,309.56
  4. Step 4: Simplify right side
    5,163.64x = 25,617,649.18
  5. Step 5: Solve for x
    x = 25,617,649.18/5,163.64
  6. Step 6: Final answer
    x = 4,961.16

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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.