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Finding the Fourth Proportional to 12,219.20, 18,328.80 and 10,299.20

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Solution

The fourth proportional to 12,219.20, 18,328.80 and 10,299.20 is: 15,448.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,219.20 : 18,328.80 = 10,299.20 : x
  2. Step 2: Convert to fraction form
    12,219.20/18,328.80 = 10,299.20/x
  3. Step 3: Cross multiply
    12,219.20x = 18,328.80 × 10,299.20
  4. Step 4: Simplify right side
    12,219.20x = 188,771,976.96
  5. Step 5: Solve for x
    x = 188,771,976.96/12,219.20
  6. Step 6: Final answer
    x = 15,448.80

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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.