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Finding the Fourth Proportional to 9,229, 12,736.20 and 5,503

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Solution

The fourth proportional to 9,229, 12,736.20 and 5,503 is: 7,594.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229 : 12,736.20 = 5,503 : x
  2. Step 2: Convert to fraction form
    9,229/12,736.20 = 5,503/x
  3. Step 3: Cross multiply
    9,229x = 12,736.20 × 5,503
  4. Step 4: Simplify right side
    9,229x = 70,087,308.60
  5. Step 5: Solve for x
    x = 70,087,308.60/9,229
  6. Step 6: Final answer
    x = 7,594.25

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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.