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Finding the Fourth Proportional to 18,956, 28,444.24 and 9,228

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Solution

The fourth proportional to 18,956, 28,444.24 and 9,228 is: 13,846.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,956 : 28,444.24 = 9,228 : x
  2. Step 2: Convert to fraction form
    18,956/28,444.24 = 9,228/x
  3. Step 3: Cross multiply
    18,956x = 28,444.24 × 9,228
  4. Step 4: Simplify right side
    18,956x = 262,483,446.72
  5. Step 5: Solve for x
    x = 262,483,446.72/18,956
  6. Step 6: Final answer
    x = 13,846.98

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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.