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Finding the Fourth Proportional to 16,310, 22,509.72 and 9,686

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Solution

The fourth proportional to 16,310, 22,509.72 and 9,686 is: 13,367.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,310 : 22,509.72 = 9,686 : x
  2. Step 2: Convert to fraction form
    16,310/22,509.72 = 9,686/x
  3. Step 3: Cross multiply
    16,310x = 22,509.72 × 9,686
  4. Step 4: Simplify right side
    16,310x = 218,029,147.92
  5. Step 5: Solve for x
    x = 218,029,147.92/16,310
  6. Step 6: Final answer
    x = 13,367.82

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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.