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Finding the Fourth Proportional to 5,454, 8,181 and 1,759.32

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Solution

The fourth proportional to 5,454, 8,181 and 1,759.32 is: 2,638.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454 : 8,181 = 1,759.32 : x
  2. Step 2: Convert to fraction form
    5,454/8,181 = 1,759.32/x
  3. Step 3: Cross multiply
    5,454x = 8,181 × 1,759.32
  4. Step 4: Simplify right side
    5,454x = 14,392,996.92
  5. Step 5: Solve for x
    x = 14,392,996.92/5,454
  6. Step 6: Final answer
    x = 2,638.98

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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.