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Finding the Fourth Proportional to 17,497, 26,245.50 and 5,185

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Solution

The fourth proportional to 17,497, 26,245.50 and 5,185 is: 7,777.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,497 : 26,245.50 = 5,185 : x
  2. Step 2: Convert to fraction form
    17,497/26,245.50 = 5,185/x
  3. Step 3: Cross multiply
    17,497x = 26,245.50 × 5,185
  4. Step 4: Simplify right side
    17,497x = 136,082,917.50
  5. Step 5: Solve for x
    x = 136,082,917.50/17,497
  6. Step 6: Final answer
    x = 7,777.50

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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.