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Finding the Fourth Proportional to 10,960.80, 16,441.20 and 8,503.20

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Solution

The fourth proportional to 10,960.80, 16,441.20 and 8,503.20 is: 12,754.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,960.80 : 16,441.20 = 8,503.20 : x
  2. Step 2: Convert to fraction form
    10,960.80/16,441.20 = 8,503.20/x
  3. Step 3: Cross multiply
    10,960.80x = 16,441.20 × 8,503.20
  4. Step 4: Simplify right side
    10,960.80x = 139,802,811.84
  5. Step 5: Solve for x
    x = 139,802,811.84/10,960.80
  6. Step 6: Final answer
    x = 12,754.80

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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.