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Finding the Fourth Proportional to 18,953, 28,439.74 and 9,225

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Solution

The fourth proportional to 18,953, 28,439.74 and 9,225 is: 13,842.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,953 : 28,439.74 = 9,225 : x
  2. Step 2: Convert to fraction form
    18,953/28,439.74 = 9,225/x
  3. Step 3: Cross multiply
    18,953x = 28,439.74 × 9,225
  4. Step 4: Simplify right side
    18,953x = 262,356,601.50
  5. Step 5: Solve for x
    x = 262,356,601.50/18,953
  6. Step 6: Final answer
    x = 13,842.48

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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.