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Finding the Fourth Proportional to 3,778.56, 5,664.24 and 1,828.08

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Solution

The fourth proportional to 3,778.56, 5,664.24 and 1,828.08 is: 2,740.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.56 : 5,664.24 = 1,828.08 : x
  2. Step 2: Convert to fraction form
    3,778.56/5,664.24 = 1,828.08/x
  3. Step 3: Cross multiply
    3,778.56x = 5,664.24 × 1,828.08
  4. Step 4: Simplify right side
    3,778.56x = 10,354,683.86
  5. Step 5: Solve for x
    x = 10,354,683.86/3,778.56
  6. Step 6: Final answer
    x = 2,740.38

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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.