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Finding the Fourth Proportional to 5,227.84, 7,842.90 and 2,107.84

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Solution

The fourth proportional to 5,227.84, 7,842.90 and 2,107.84 is: 3,162.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.84 : 7,842.90 = 2,107.84 : x
  2. Step 2: Convert to fraction form
    5,227.84/7,842.90 = 2,107.84/x
  3. Step 3: Cross multiply
    5,227.84x = 7,842.90 × 2,107.84
  4. Step 4: Simplify right side
    5,227.84x = 16,531,542.32
  5. Step 5: Solve for x
    x = 16,531,542.32/5,227.84
  6. Step 6: Final answer
    x = 3,162.21

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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.