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Finding the Fourth Proportional to 2,679.10, 4,018.19 and 730.84

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Solution

The fourth proportional to 2,679.10, 4,018.19 and 730.84 is: 1,096.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.10 : 4,018.19 = 730.84 : x
  2. Step 2: Convert to fraction form
    2,679.10/4,018.19 = 730.84/x
  3. Step 3: Cross multiply
    2,679.10x = 4,018.19 × 730.84
  4. Step 4: Simplify right side
    2,679.10x = 2,936,653.98
  5. Step 5: Solve for x
    x = 2,936,653.98/2,679.10
  6. Step 6: Final answer
    x = 1,096.13

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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.