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Finding the Fourth Proportional to 6,456, 9,684.54 and 1,839

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Solution

The fourth proportional to 6,456, 9,684.54 and 1,839 is: 2,758.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456 : 9,684.54 = 1,839 : x
  2. Step 2: Convert to fraction form
    6,456/9,684.54 = 1,839/x
  3. Step 3: Cross multiply
    6,456x = 9,684.54 × 1,839
  4. Step 4: Simplify right side
    6,456x = 17,809,869.06
  5. Step 5: Solve for x
    x = 17,809,869.06/6,456
  6. Step 6: Final answer
    x = 2,758.65

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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.