Home / 2,677.14-4,016.31-828.19

Finding the Fourth Proportional to 2,677.14, 4,016.31 and 828.19

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Solution

The fourth proportional to 2,677.14, 4,016.31 and 828.19 is: 1,242.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.14 : 4,016.31 = 828.19 : x
  2. Step 2: Convert to fraction form
    2,677.14/4,016.31 = 828.19/x
  3. Step 3: Cross multiply
    2,677.14x = 4,016.31 × 828.19
  4. Step 4: Simplify right side
    2,677.14x = 3,326,267.78
  5. Step 5: Solve for x
    x = 3,326,267.78/2,677.14
  6. Step 6: Final answer
    x = 1,242.47

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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.