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Finding the Fourth Proportional to 11,859.52, 17,790 and 7,271.68

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Solution

The fourth proportional to 11,859.52, 17,790 and 7,271.68 is: 10,907.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.52 : 17,790 = 7,271.68 : x
  2. Step 2: Convert to fraction form
    11,859.52/17,790 = 7,271.68/x
  3. Step 3: Cross multiply
    11,859.52x = 17,790 × 7,271.68
  4. Step 4: Simplify right side
    11,859.52x = 129,363,187.20
  5. Step 5: Solve for x
    x = 129,363,187.20/11,859.52
  6. Step 6: Final answer
    x = 10,907.96

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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.