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Finding the Fourth Proportional to 3,187.91, 4,782.56 and 966.56

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Solution

The fourth proportional to 3,187.91, 4,782.56 and 966.56 is: 1,450.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.91 : 4,782.56 = 966.56 : x
  2. Step 2: Convert to fraction form
    3,187.91/4,782.56 = 966.56/x
  3. Step 3: Cross multiply
    3,187.91x = 4,782.56 × 966.56
  4. Step 4: Simplify right side
    3,187.91x = 4,622,638.32
  5. Step 5: Solve for x
    x = 4,622,638.32/3,187.91
  6. Step 6: Final answer
    x = 1,450.05

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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.