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Finding the Fourth Proportional to 17,550, 26,325 and 5,238

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Solution

The fourth proportional to 17,550, 26,325 and 5,238 is: 7,857

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,550 : 26,325 = 5,238 : x
  2. Step 2: Convert to fraction form
    17,550/26,325 = 5,238/x
  3. Step 3: Cross multiply
    17,550x = 26,325 × 5,238
  4. Step 4: Simplify right side
    17,550x = 137,890,350
  5. Step 5: Solve for x
    x = 137,890,350/17,550
  6. Step 6: Final answer
    x = 7,857

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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.