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Finding the Fourth Proportional to 9,419, 12,998.30 and 5,227.24

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Solution

The fourth proportional to 9,419, 12,998.30 and 5,227.24 is: 7,213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419 : 12,998.30 = 5,227.24 : x
  2. Step 2: Convert to fraction form
    9,419/12,998.30 = 5,227.24/x
  3. Step 3: Cross multiply
    9,419x = 12,998.30 × 5,227.24
  4. Step 4: Simplify right side
    9,419x = 67,945,233.69
  5. Step 5: Solve for x
    x = 67,945,233.69/9,419
  6. Step 6: Final answer
    x = 7,213.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.