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Finding the Fourth Proportional to 5,361.60, 7,385.16 and 3,786.96

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Solution

The fourth proportional to 5,361.60, 7,385.16 and 3,786.96 is: 5,216.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,361.60 : 7,385.16 = 3,786.96 : x
  2. Step 2: Convert to fraction form
    5,361.60/7,385.16 = 3,786.96/x
  3. Step 3: Cross multiply
    5,361.60x = 7,385.16 × 3,786.96
  4. Step 4: Simplify right side
    5,361.60x = 27,967,305.51
  5. Step 5: Solve for x
    x = 27,967,305.51/5,361.60
  6. Step 6: Final answer
    x = 5,216.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.