Home / 2,677.09-4,016.02-828.37

Finding the Fourth Proportional to 2,677.09, 4,016.02 and 828.37

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Solution

The fourth proportional to 2,677.09, 4,016.02 and 828.37 is: 1,242.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.09 : 4,016.02 = 828.37 : x
  2. Step 2: Convert to fraction form
    2,677.09/4,016.02 = 828.37/x
  3. Step 3: Cross multiply
    2,677.09x = 4,016.02 × 828.37
  4. Step 4: Simplify right side
    2,677.09x = 3,326,732.40
  5. Step 5: Solve for x
    x = 3,326,732.40/2,677.09
  6. Step 6: Final answer
    x = 1,242.67

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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.