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Finding the Fourth Proportional to 17,661, 26,503.65 and 7,272.75

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Solution

The fourth proportional to 17,661, 26,503.65 and 7,272.75 is: 10,914.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,661 : 26,503.65 = 7,272.75 : x
  2. Step 2: Convert to fraction form
    17,661/26,503.65 = 7,272.75/x
  3. Step 3: Cross multiply
    17,661x = 26,503.65 × 7,272.75
  4. Step 4: Simplify right side
    17,661x = 192,754,420.54
  5. Step 5: Solve for x
    x = 192,754,420.54/17,661
  6. Step 6: Final answer
    x = 10,914.13

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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.