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Finding the Fourth Proportional to 3,653.78, 5,475.54 and 2,828.28

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Solution

The fourth proportional to 3,653.78, 5,475.54 and 2,828.28 is: 4,238.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.78 : 5,475.54 = 2,828.28 : x
  2. Step 2: Convert to fraction form
    3,653.78/5,475.54 = 2,828.28/x
  3. Step 3: Cross multiply
    3,653.78x = 5,475.54 × 2,828.28
  4. Step 4: Simplify right side
    3,653.78x = 15,486,360.27
  5. Step 5: Solve for x
    x = 15,486,360.27/3,653.78
  6. Step 6: Final answer
    x = 4,238.45

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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.