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Finding the Fourth Proportional to 6,822.05, 9,402.09 and 5,131.99

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Solution

The fourth proportional to 6,822.05, 9,402.09 and 5,131.99 is: 7,072.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.05 : 9,402.09 = 5,131.99 : x
  2. Step 2: Convert to fraction form
    6,822.05/9,402.09 = 5,131.99/x
  3. Step 3: Cross multiply
    6,822.05x = 9,402.09 × 5,131.99
  4. Step 4: Simplify right side
    6,822.05x = 48,251,384.85
  5. Step 5: Solve for x
    x = 48,251,384.85/6,822.05
  6. Step 6: Final answer
    x = 7,072.86

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1.5x scale

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.