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Finding the Fourth Proportional to 6,428.94, 8,872 and 3,777.18

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Solution

The fourth proportional to 6,428.94, 8,872 and 3,777.18 is: 5,212.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.94 : 8,872 = 3,777.18 : x
  2. Step 2: Convert to fraction form
    6,428.94/8,872 = 3,777.18/x
  3. Step 3: Cross multiply
    6,428.94x = 8,872 × 3,777.18
  4. Step 4: Simplify right side
    6,428.94x = 33,511,140.96
  5. Step 5: Solve for x
    x = 33,511,140.96/6,428.94
  6. Step 6: Final answer
    x = 5,212.55

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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.