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Finding the Fourth Proportional to 10,923, 16,384.56 and 2,715

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Solution

The fourth proportional to 10,923, 16,384.56 and 2,715 is: 4,072.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923 : 16,384.56 = 2,715 : x
  2. Step 2: Convert to fraction form
    10,923/16,384.56 = 2,715/x
  3. Step 3: Cross multiply
    10,923x = 16,384.56 × 2,715
  4. Step 4: Simplify right side
    10,923x = 44,484,080.40
  5. Step 5: Solve for x
    x = 44,484,080.40/10,923
  6. Step 6: Final answer
    x = 4,072.51

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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.