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Finding the Fourth Proportional to 2,121, 3,182.85 and 966.75

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Solution

The fourth proportional to 2,121, 3,182.85 and 966.75 is: 1,450.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121 : 3,182.85 = 966.75 : x
  2. Step 2: Convert to fraction form
    2,121/3,182.85 = 966.75/x
  3. Step 3: Cross multiply
    2,121x = 3,182.85 × 966.75
  4. Step 4: Simplify right side
    2,121x = 3,077,020.24
  5. Step 5: Solve for x
    x = 3,077,020.24/2,121
  6. Step 6: Final answer
    x = 1,450.74

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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.