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Finding the Fourth Proportional to 2,678.07, 4,016.80 and 730.43

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Solution

The fourth proportional to 2,678.07, 4,016.80 and 730.43 is: 1,095.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.07 : 4,016.80 = 730.43 : x
  2. Step 2: Convert to fraction form
    2,678.07/4,016.80 = 730.43/x
  3. Step 3: Cross multiply
    2,678.07x = 4,016.80 × 730.43
  4. Step 4: Simplify right side
    2,678.07x = 2,933,987.12
  5. Step 5: Solve for x
    x = 2,933,987.12/2,678.07
  6. Step 6: Final answer
    x = 1,095.56

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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.