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Finding the Fourth Proportional to 5,581.94, 8,314.70 and 5,286.11

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Solution

The fourth proportional to 5,581.94, 8,314.70 and 5,286.11 is: 7,874.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.94 : 8,314.70 = 5,286.11 : x
  2. Step 2: Convert to fraction form
    5,581.94/8,314.70 = 5,286.11/x
  3. Step 3: Cross multiply
    5,581.94x = 8,314.70 × 5,286.11
  4. Step 4: Simplify right side
    5,581.94x = 43,952,350.81
  5. Step 5: Solve for x
    x = 43,952,350.81/5,581.94
  6. Step 6: Final answer
    x = 7,874.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.