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Finding the Fourth Proportional to 16,415.64, 24,640.56 and 7,659

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Solution

The fourth proportional to 16,415.64, 24,640.56 and 7,659 is: 11,496.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415.64 : 24,640.56 = 7,659 : x
  2. Step 2: Convert to fraction form
    16,415.64/24,640.56 = 7,659/x
  3. Step 3: Cross multiply
    16,415.64x = 24,640.56 × 7,659
  4. Step 4: Simplify right side
    16,415.64x = 188,722,049.04
  5. Step 5: Solve for x
    x = 188,722,049.04/16,415.64
  6. Step 6: Final answer
    x = 11,496.48

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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.