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Finding the Fourth Proportional to 2,563.63, 3,848.48 and 2,157.82

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Solution

The fourth proportional to 2,563.63, 3,848.48 and 2,157.82 is: 3,239.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.63 : 3,848.48 = 2,157.82 : x
  2. Step 2: Convert to fraction form
    2,563.63/3,848.48 = 2,157.82/x
  3. Step 3: Cross multiply
    2,563.63x = 3,848.48 × 2,157.82
  4. Step 4: Simplify right side
    2,563.63x = 8,304,327.11
  5. Step 5: Solve for x
    x = 8,304,327.11/2,563.63
  6. Step 6: Final answer
    x = 3,239.28

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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.