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Finding the Fourth Proportional to 10,823.76, 16,250.64 and 8,290.80

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Solution

The fourth proportional to 10,823.76, 16,250.64 and 8,290.80 is: 12,447.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.76 : 16,250.64 = 8,290.80 : x
  2. Step 2: Convert to fraction form
    10,823.76/16,250.64 = 8,290.80/x
  3. Step 3: Cross multiply
    10,823.76x = 16,250.64 × 8,290.80
  4. Step 4: Simplify right side
    10,823.76x = 134,730,806.11
  5. Step 5: Solve for x
    x = 134,730,806.11/10,823.76
  6. Step 6: Final answer
    x = 12,447.69

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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.