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Finding the Fourth Proportional to 2,678.54, 4,017.84 and 730.78

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Solution

The fourth proportional to 2,678.54, 4,017.84 and 730.78 is: 1,096.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.54 : 4,017.84 = 730.78 : x
  2. Step 2: Convert to fraction form
    2,678.54/4,017.84 = 730.78/x
  3. Step 3: Cross multiply
    2,678.54x = 4,017.84 × 730.78
  4. Step 4: Simplify right side
    2,678.54x = 2,936,157.12
  5. Step 5: Solve for x
    x = 2,936,157.12/2,678.54
  6. Step 6: Final answer
    x = 1,096.18

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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.