Home / 20,677.36-31,015.68-6,826

Finding the Fourth Proportional to 20,677.36, 31,015.68 and 6,826

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Solution

The fourth proportional to 20,677.36, 31,015.68 and 6,826 is: 10,238.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,677.36 : 31,015.68 = 6,826 : x
  2. Step 2: Convert to fraction form
    20,677.36/31,015.68 = 6,826/x
  3. Step 3: Cross multiply
    20,677.36x = 31,015.68 × 6,826
  4. Step 4: Simplify right side
    20,677.36x = 211,713,031.68
  5. Step 5: Solve for x
    x = 211,713,031.68/20,677.36
  6. Step 6: Final answer
    x = 10,238.88

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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.