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Finding the Fourth Proportional to 5,631.83, 7,771.71 and 3,114.14

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Solution

The fourth proportional to 5,631.83, 7,771.71 and 3,114.14 is: 4,297.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.83 : 7,771.71 = 3,114.14 : x
  2. Step 2: Convert to fraction form
    5,631.83/7,771.71 = 3,114.14/x
  3. Step 3: Cross multiply
    5,631.83x = 7,771.71 × 3,114.14
  4. Step 4: Simplify right side
    5,631.83x = 24,202,192.98
  5. Step 5: Solve for x
    x = 24,202,192.98/5,631.83
  6. Step 6: Final answer
    x = 4,297.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.