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Finding the Fourth Proportional to 5,785, 8,680.14 and 2,821.81

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Solution

The fourth proportional to 5,785, 8,680.14 and 2,821.81 is: 4,234.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785 : 8,680.14 = 2,821.81 : x
  2. Step 2: Convert to fraction form
    5,785/8,680.14 = 2,821.81/x
  3. Step 3: Cross multiply
    5,785x = 8,680.14 × 2,821.81
  4. Step 4: Simplify right side
    5,785x = 24,493,705.85
  5. Step 5: Solve for x
    x = 24,493,705.85/5,785
  6. Step 6: Final answer
    x = 4,234.00

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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.