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Finding the Fourth Proportional to 2,678.54, 4,018.19 and 829.82

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Solution

The fourth proportional to 2,678.54, 4,018.19 and 829.82 is: 1,244.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.54 : 4,018.19 = 829.82 : x
  2. Step 2: Convert to fraction form
    2,678.54/4,018.19 = 829.82/x
  3. Step 3: Cross multiply
    2,678.54x = 4,018.19 × 829.82
  4. Step 4: Simplify right side
    2,678.54x = 3,334,374.43
  5. Step 5: Solve for x
    x = 3,334,374.43/2,678.54
  6. Step 6: Final answer
    x = 1,244.85

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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.