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Finding the Fourth Proportional to 3,222.95, 4,447.64 and 1,787.32

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Solution

The fourth proportional to 3,222.95, 4,447.64 and 1,787.32 is: 2,466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.95 : 4,447.64 = 1,787.32 : x
  2. Step 2: Convert to fraction form
    3,222.95/4,447.64 = 1,787.32/x
  3. Step 3: Cross multiply
    3,222.95x = 4,447.64 × 1,787.32
  4. Step 4: Simplify right side
    3,222.95x = 7,949,324.75
  5. Step 5: Solve for x
    x = 7,949,324.75/3,222.95
  6. Step 6: Final answer
    x = 2,466.47

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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.