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Finding the Fourth Proportional to 2,166.30, 3,247.56 and 866.88

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Solution

The fourth proportional to 2,166.30, 3,247.56 and 866.88 is: 1,299.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.30 : 3,247.56 = 866.88 : x
  2. Step 2: Convert to fraction form
    2,166.30/3,247.56 = 866.88/x
  3. Step 3: Cross multiply
    2,166.30x = 3,247.56 × 866.88
  4. Step 4: Simplify right side
    2,166.30x = 2,815,244.81
  5. Step 5: Solve for x
    x = 2,815,244.81/2,166.30
  6. Step 6: Final answer
    x = 1,299.56

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1.5x scale

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.