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Finding the Fourth Proportional to 9,219, 12,723.30 and 5,493

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Solution

The fourth proportional to 9,219, 12,723.30 and 5,493 is: 7,580.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219 : 12,723.30 = 5,493 : x
  2. Step 2: Convert to fraction form
    9,219/12,723.30 = 5,493/x
  3. Step 3: Cross multiply
    9,219x = 12,723.30 × 5,493
  4. Step 4: Simplify right side
    9,219x = 69,889,086.90
  5. Step 5: Solve for x
    x = 69,889,086.90/9,219
  6. Step 6: Final answer
    x = 7,580.98

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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.