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Finding the Fourth Proportional to 5,489.96, 8,234.08 and 1,792.16

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Solution

The fourth proportional to 5,489.96, 8,234.08 and 1,792.16 is: 2,687.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.96 : 8,234.08 = 1,792.16 : x
  2. Step 2: Convert to fraction form
    5,489.96/8,234.08 = 1,792.16/x
  3. Step 3: Cross multiply
    5,489.96x = 8,234.08 × 1,792.16
  4. Step 4: Simplify right side
    5,489.96x = 14,756,788.81
  5. Step 5: Solve for x
    x = 14,756,788.81/5,489.96
  6. Step 6: Final answer
    x = 2,687.96

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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.