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Finding the Fourth Proportional to 10,828.80, 16,230.24 and 8,884.80

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Solution

The fourth proportional to 10,828.80, 16,230.24 and 8,884.80 is: 13,316.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,828.80 : 16,230.24 = 8,884.80 : x
  2. Step 2: Convert to fraction form
    10,828.80/16,230.24 = 8,884.80/x
  3. Step 3: Cross multiply
    10,828.80x = 16,230.24 × 8,884.80
  4. Step 4: Simplify right side
    10,828.80x = 144,202,436.35
  5. Step 5: Solve for x
    x = 144,202,436.35/10,828.80
  6. Step 6: Final answer
    x = 13,316.57

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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.