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Finding the Fourth Proportional to 5,677.77, 7,836.99 and 3,792.09

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Solution

The fourth proportional to 5,677.77, 7,836.99 and 3,792.09 is: 5,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.77 : 7,836.99 = 3,792.09 : x
  2. Step 2: Convert to fraction form
    5,677.77/7,836.99 = 3,792.09/x
  3. Step 3: Cross multiply
    5,677.77x = 7,836.99 × 3,792.09
  4. Step 4: Simplify right side
    5,677.77x = 29,718,571.41
  5. Step 5: Solve for x
    x = 29,718,571.41/5,677.77
  6. Step 6: Final answer
    x = 5,234.20

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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.