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Finding the Fourth Proportional to 3,878.64, 5,787.99 and 3,463.32

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Solution

The fourth proportional to 3,878.64, 5,787.99 and 3,463.32 is: 5,168.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.64 : 5,787.99 = 3,463.32 : x
  2. Step 2: Convert to fraction form
    3,878.64/5,787.99 = 3,463.32/x
  3. Step 3: Cross multiply
    3,878.64x = 5,787.99 × 3,463.32
  4. Step 4: Simplify right side
    3,878.64x = 20,045,661.53
  5. Step 5: Solve for x
    x = 20,045,661.53/3,878.64
  6. Step 6: Final answer
    x = 5,168.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.