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Finding the Fourth Proportional to 3,571.68, 5,340 and 3,029.92

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Solution

The fourth proportional to 3,571.68, 5,340 and 3,029.92 is: 4,530.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,571.68 : 5,340 = 3,029.92 : x
  2. Step 2: Convert to fraction form
    3,571.68/5,340 = 3,029.92/x
  3. Step 3: Cross multiply
    3,571.68x = 5,340 × 3,029.92
  4. Step 4: Simplify right side
    3,571.68x = 16,179,772.80
  5. Step 5: Solve for x
    x = 16,179,772.80/3,571.68
  6. Step 6: Final answer
    x = 4,530.02

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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.