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Finding the Fourth Proportional to 12,224.11, 18,310.63 and 7,819.19

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Solution

The fourth proportional to 12,224.11, 18,310.63 and 7,819.19 is: 11,712.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.11 : 18,310.63 = 7,819.19 : x
  2. Step 2: Convert to fraction form
    12,224.11/18,310.63 = 7,819.19/x
  3. Step 3: Cross multiply
    12,224.11x = 18,310.63 × 7,819.19
  4. Step 4: Simplify right side
    12,224.11x = 143,174,294.99
  5. Step 5: Solve for x
    x = 143,174,294.99/12,224.11
  6. Step 6: Final answer
    x = 11,712.45

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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.