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Finding the Fourth Proportional to 2,644.92, 3,966.56 and 2,123.68

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Solution

The fourth proportional to 2,644.92, 3,966.56 and 2,123.68 is: 3,184.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.92 : 3,966.56 = 2,123.68 : x
  2. Step 2: Convert to fraction form
    2,644.92/3,966.56 = 2,123.68/x
  3. Step 3: Cross multiply
    2,644.92x = 3,966.56 × 2,123.68
  4. Step 4: Simplify right side
    2,644.92x = 8,423,704.14
  5. Step 5: Solve for x
    x = 8,423,704.14/2,644.92
  6. Step 6: Final answer
    x = 3,184.86

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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.