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Finding the Fourth Proportional to 2,553.65, 3,827.28 and 1,383.65

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Solution

The fourth proportional to 2,553.65, 3,827.28 and 1,383.65 is: 2,073.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.65 : 3,827.28 = 1,383.65 : x
  2. Step 2: Convert to fraction form
    2,553.65/3,827.28 = 1,383.65/x
  3. Step 3: Cross multiply
    2,553.65x = 3,827.28 × 1,383.65
  4. Step 4: Simplify right side
    2,553.65x = 5,295,615.97
  5. Step 5: Solve for x
    x = 5,295,615.97/2,553.65
  6. Step 6: Final answer
    x = 2,073.74

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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.