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Finding the Fourth Proportional to 3,878.16, 5,818.11 and 1,379.22

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Solution

The fourth proportional to 3,878.16, 5,818.11 and 1,379.22 is: 2,069.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.16 : 5,818.11 = 1,379.22 : x
  2. Step 2: Convert to fraction form
    3,878.16/5,818.11 = 1,379.22/x
  3. Step 3: Cross multiply
    3,878.16x = 5,818.11 × 1,379.22
  4. Step 4: Simplify right side
    3,878.16x = 8,024,453.67
  5. Step 5: Solve for x
    x = 8,024,453.67/3,878.16
  6. Step 6: Final answer
    x = 2,069.14

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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.