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Finding the Fourth Proportional to 2,678.69, 4,018.41 and 829.97

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Solution

The fourth proportional to 2,678.69, 4,018.41 and 829.97 is: 1,245.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.69 : 4,018.41 = 829.97 : x
  2. Step 2: Convert to fraction form
    2,678.69/4,018.41 = 829.97/x
  3. Step 3: Cross multiply
    2,678.69x = 4,018.41 × 829.97
  4. Step 4: Simplify right side
    2,678.69x = 3,335,139.66
  5. Step 5: Solve for x
    x = 3,335,139.66/2,678.69
  6. Step 6: Final answer
    x = 1,245.07

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1.5x scale

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.