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Finding the Fourth Proportional to 5,489.54, 8,234.74 and 1,792.14

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Solution

The fourth proportional to 5,489.54, 8,234.74 and 1,792.14 is: 2,688.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.54 : 8,234.74 = 1,792.14 : x
  2. Step 2: Convert to fraction form
    5,489.54/8,234.74 = 1,792.14/x
  3. Step 3: Cross multiply
    5,489.54x = 8,234.74 × 1,792.14
  4. Step 4: Simplify right side
    5,489.54x = 14,757,836.95
  5. Step 5: Solve for x
    x = 14,757,836.95/5,489.54
  6. Step 6: Final answer
    x = 2,688.36

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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.