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Finding the Fourth Proportional to 10,714.69, 16,072.79 and 3,318.19

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Solution

The fourth proportional to 10,714.69, 16,072.79 and 3,318.19 is: 4,977.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.69 : 16,072.79 = 3,318.19 : x
  2. Step 2: Convert to fraction form
    10,714.69/16,072.79 = 3,318.19/x
  3. Step 3: Cross multiply
    10,714.69x = 16,072.79 × 3,318.19
  4. Step 4: Simplify right side
    10,714.69x = 53,332,571.05
  5. Step 5: Solve for x
    x = 53,332,571.05/10,714.69
  6. Step 6: Final answer
    x = 4,977.52

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1.5x scale

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.