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Finding the Fourth Proportional to 2,678.54, 4,016.34 and 829.15

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Solution

The fourth proportional to 2,678.54, 4,016.34 and 829.15 is: 1,243.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.54 : 4,016.34 = 829.15 : x
  2. Step 2: Convert to fraction form
    2,678.54/4,016.34 = 829.15/x
  3. Step 3: Cross multiply
    2,678.54x = 4,016.34 × 829.15
  4. Step 4: Simplify right side
    2,678.54x = 3,330,148.31
  5. Step 5: Solve for x
    x = 3,330,148.31/2,678.54
  6. Step 6: Final answer
    x = 1,243.27

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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.