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Finding the Fourth Proportional to 2,678.62, 4,018.98 and 829.87

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Solution

The fourth proportional to 2,678.62, 4,018.98 and 829.87 is: 1,245.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.62 : 4,018.98 = 829.87 : x
  2. Step 2: Convert to fraction form
    2,678.62/4,018.98 = 829.87/x
  3. Step 3: Cross multiply
    2,678.62x = 4,018.98 × 829.87
  4. Step 4: Simplify right side
    2,678.62x = 3,335,247.26
  5. Step 5: Solve for x
    x = 3,335,247.26/2,678.62
  6. Step 6: Final answer
    x = 1,245.14

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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.