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Finding the Fourth Proportional to 3,188.16, 4,777.11 and 1,728

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Solution

The fourth proportional to 3,188.16, 4,777.11 and 1,728 is: 2,589.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.16 : 4,777.11 = 1,728 : x
  2. Step 2: Convert to fraction form
    3,188.16/4,777.11 = 1,728/x
  3. Step 3: Cross multiply
    3,188.16x = 4,777.11 × 1,728
  4. Step 4: Simplify right side
    3,188.16x = 8,254,846.08
  5. Step 5: Solve for x
    x = 8,254,846.08/3,188.16
  6. Step 6: Final answer
    x = 2,589.22

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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.