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Finding the Fourth Proportional to 17,509.26, 26,274.82 and 7,121

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Solution

The fourth proportional to 17,509.26, 26,274.82 and 7,121 is: 10,685.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.26 : 26,274.82 = 7,121 : x
  2. Step 2: Convert to fraction form
    17,509.26/26,274.82 = 7,121/x
  3. Step 3: Cross multiply
    17,509.26x = 26,274.82 × 7,121
  4. Step 4: Simplify right side
    17,509.26x = 187,102,993.22
  5. Step 5: Solve for x
    x = 187,102,993.22/17,509.26
  6. Step 6: Final answer
    x = 10,685.95

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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.