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Finding the Fourth Proportional to 13,869.72, 20,806.74 and 8,321.76

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Solution

The fourth proportional to 13,869.72, 20,806.74 and 8,321.76 is: 12,483.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,869.72 : 20,806.74 = 8,321.76 : x
  2. Step 2: Convert to fraction form
    13,869.72/20,806.74 = 8,321.76/x
  3. Step 3: Cross multiply
    13,869.72x = 20,806.74 × 8,321.76
  4. Step 4: Simplify right side
    13,869.72x = 173,148,696.66
  5. Step 5: Solve for x
    x = 173,148,696.66/13,869.72
  6. Step 6: Final answer
    x = 12,483.94

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1.5x scale

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.