Home / 20,774.50-31,161.75-8,462.50

Finding the Fourth Proportional to 20,774.50, 31,161.75 and 8,462.50

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Solution

The fourth proportional to 20,774.50, 31,161.75 and 8,462.50 is: 12,693.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,774.50 : 31,161.75 = 8,462.50 : x
  2. Step 2: Convert to fraction form
    20,774.50/31,161.75 = 8,462.50/x
  3. Step 3: Cross multiply
    20,774.50x = 31,161.75 × 8,462.50
  4. Step 4: Simplify right side
    20,774.50x = 263,706,309.38
  5. Step 5: Solve for x
    x = 263,706,309.38/20,774.50
  6. Step 6: Final answer
    x = 12,693.75

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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.