Home / 20,849.43-31,280-8,378.21

Finding the Fourth Proportional to 20,849.43, 31,280 and 8,378.21

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Solution

The fourth proportional to 20,849.43, 31,280 and 8,378.21 is: 12,569.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,849.43 : 31,280 = 8,378.21 : x
  2. Step 2: Convert to fraction form
    20,849.43/31,280 = 8,378.21/x
  3. Step 3: Cross multiply
    20,849.43x = 31,280 × 8,378.21
  4. Step 4: Simplify right side
    20,849.43x = 262,070,408.80
  5. Step 5: Solve for x
    x = 262,070,408.80/20,849.43
  6. Step 6: Final answer
    x = 12,569.67

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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.