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Finding the Fourth Proportional to 2,551.64, 3,825.24 and 2,164.16

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Solution

The fourth proportional to 2,551.64, 3,825.24 and 2,164.16 is: 3,244.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.64 : 3,825.24 = 2,164.16 : x
  2. Step 2: Convert to fraction form
    2,551.64/3,825.24 = 2,164.16/x
  3. Step 3: Cross multiply
    2,551.64x = 3,825.24 × 2,164.16
  4. Step 4: Simplify right side
    2,551.64x = 8,278,431.40
  5. Step 5: Solve for x
    x = 8,278,431.40/2,551.64
  6. Step 6: Final answer
    x = 3,244.36

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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.