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Finding the Fourth Proportional to 3,768.98, 5,652.69 and 1,428.17

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Solution

The fourth proportional to 3,768.98, 5,652.69 and 1,428.17 is: 2,141.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.98 : 5,652.69 = 1,428.17 : x
  2. Step 2: Convert to fraction form
    3,768.98/5,652.69 = 1,428.17/x
  3. Step 3: Cross multiply
    3,768.98x = 5,652.69 × 1,428.17
  4. Step 4: Simplify right side
    3,768.98x = 8,073,002.28
  5. Step 5: Solve for x
    x = 8,073,002.28/3,768.98
  6. Step 6: Final answer
    x = 2,141.96

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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.