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Finding the Fourth Proportional to 11,963.63, 16,509.57 and 7,489.85

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Solution

The fourth proportional to 11,963.63, 16,509.57 and 7,489.85 is: 10,335.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.63 : 16,509.57 = 7,489.85 : x
  2. Step 2: Convert to fraction form
    11,963.63/16,509.57 = 7,489.85/x
  3. Step 3: Cross multiply
    11,963.63x = 16,509.57 × 7,489.85
  4. Step 4: Simplify right side
    11,963.63x = 123,654,092.23
  5. Step 5: Solve for x
    x = 123,654,092.23/11,963.63
  6. Step 6: Final answer
    x = 10,335.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.