Home / 20,741.76-31,110-8,254.56

Finding the Fourth Proportional to 20,741.76, 31,110 and 8,254.56

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Solution

The fourth proportional to 20,741.76, 31,110 and 8,254.56 is: 12,380.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,741.76 : 31,110 = 8,254.56 : x
  2. Step 2: Convert to fraction form
    20,741.76/31,110 = 8,254.56/x
  3. Step 3: Cross multiply
    20,741.76x = 31,110 × 8,254.56
  4. Step 4: Simplify right side
    20,741.76x = 256,799,361.60
  5. Step 5: Solve for x
    x = 256,799,361.60/20,741.76
  6. Step 6: Final answer
    x = 12,380.79

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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.