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Finding the Fourth Proportional to 16,455.87, 24,687.43 and 7,686

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Solution

The fourth proportional to 16,455.87, 24,687.43 and 7,686 is: 11,530.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,455.87 : 24,687.43 = 7,686 : x
  2. Step 2: Convert to fraction form
    16,455.87/24,687.43 = 7,686/x
  3. Step 3: Cross multiply
    16,455.87x = 24,687.43 × 7,686
  4. Step 4: Simplify right side
    16,455.87x = 189,747,586.98
  5. Step 5: Solve for x
    x = 189,747,586.98/16,455.87
  6. Step 6: Final answer
    x = 11,530.69

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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.