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Finding the Fourth Proportional to 10,813.20, 16,219.80 and 8,221.20

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Solution

The fourth proportional to 10,813.20, 16,219.80 and 8,221.20 is: 12,331.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.20 : 16,219.80 = 8,221.20 : x
  2. Step 2: Convert to fraction form
    10,813.20/16,219.80 = 8,221.20/x
  3. Step 3: Cross multiply
    10,813.20x = 16,219.80 × 8,221.20
  4. Step 4: Simplify right side
    10,813.20x = 133,346,219.76
  5. Step 5: Solve for x
    x = 133,346,219.76/10,813.20
  6. Step 6: Final answer
    x = 12,331.80

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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.