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Finding the Fourth Proportional to 6,454.88, 9,684 and 1,838.24

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Solution

The fourth proportional to 6,454.88, 9,684 and 1,838.24 is: 2,757.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.88 : 9,684 = 1,838.24 : x
  2. Step 2: Convert to fraction form
    6,454.88/9,684 = 1,838.24/x
  3. Step 3: Cross multiply
    6,454.88x = 9,684 × 1,838.24
  4. Step 4: Simplify right side
    6,454.88x = 17,801,516.16
  5. Step 5: Solve for x
    x = 17,801,516.16/6,454.88
  6. Step 6: Final answer
    x = 2,757.84

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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.