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Finding the Fourth Proportional to 17,687.16, 26,526.69 and 7,821.09

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Solution

The fourth proportional to 17,687.16, 26,526.69 and 7,821.09 is: 11,729.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,687.16 : 26,526.69 = 7,821.09 : x
  2. Step 2: Convert to fraction form
    17,687.16/26,526.69 = 7,821.09/x
  3. Step 3: Cross multiply
    17,687.16x = 26,526.69 × 7,821.09
  4. Step 4: Simplify right side
    17,687.16x = 207,467,629.89
  5. Step 5: Solve for x
    x = 207,467,629.89/17,687.16
  6. Step 6: Final answer
    x = 11,729.84

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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.