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Finding the Fourth Proportional to 13,197.52, 18,211.80 and 7,228

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Solution

The fourth proportional to 13,197.52, 18,211.80 and 7,228 is: 9,974.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.52 : 18,211.80 = 7,228 : x
  2. Step 2: Convert to fraction form
    13,197.52/18,211.80 = 7,228/x
  3. Step 3: Cross multiply
    13,197.52x = 18,211.80 × 7,228
  4. Step 4: Simplify right side
    13,197.52x = 131,634,890.40
  5. Step 5: Solve for x
    x = 131,634,890.40/13,197.52
  6. Step 6: Final answer
    x = 9,974.21

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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.