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Finding the Fourth Proportional to 2,214.69, 3,322.17 and 827.99

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Solution

The fourth proportional to 2,214.69, 3,322.17 and 827.99 is: 1,242.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.69 : 3,322.17 = 827.99 : x
  2. Step 2: Convert to fraction form
    2,214.69/3,322.17 = 827.99/x
  3. Step 3: Cross multiply
    2,214.69x = 3,322.17 × 827.99
  4. Step 4: Simplify right side
    2,214.69x = 2,750,706.93
  5. Step 5: Solve for x
    x = 2,750,706.93/2,214.69
  6. Step 6: Final answer
    x = 1,242.03

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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.