Home / 20,823-31,237.75-6,779.71

Finding the Fourth Proportional to 20,823, 31,237.75 and 6,779.71

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Solution

The fourth proportional to 20,823, 31,237.75 and 6,779.71 is: 10,170.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,823 : 31,237.75 = 6,779.71 : x
  2. Step 2: Convert to fraction form
    20,823/31,237.75 = 6,779.71/x
  3. Step 3: Cross multiply
    20,823x = 31,237.75 × 6,779.71
  4. Step 4: Simplify right side
    20,823x = 211,782,908.15
  5. Step 5: Solve for x
    x = 211,782,908.15/20,823
  6. Step 6: Final answer
    x = 10,170.62

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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.