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Finding the Fourth Proportional to 3,817.28, 5,723.12 and 1,218.72

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Solution

The fourth proportional to 3,817.28, 5,723.12 and 1,218.72 is: 1,827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.28 : 5,723.12 = 1,218.72 : x
  2. Step 2: Convert to fraction form
    3,817.28/5,723.12 = 1,218.72/x
  3. Step 3: Cross multiply
    3,817.28x = 5,723.12 × 1,218.72
  4. Step 4: Simplify right side
    3,817.28x = 6,974,880.81
  5. Step 5: Solve for x
    x = 6,974,880.81/3,817.28
  6. Step 6: Final answer
    x = 1,827.19

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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.