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Finding the Fourth Proportional to 2,226, 3,330.72 and 1,400.43

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Solution

The fourth proportional to 2,226, 3,330.72 and 1,400.43 is: 2,095.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226 : 3,330.72 = 1,400.43 : x
  2. Step 2: Convert to fraction form
    2,226/3,330.72 = 1,400.43/x
  3. Step 3: Cross multiply
    2,226x = 3,330.72 × 1,400.43
  4. Step 4: Simplify right side
    2,226x = 4,664,440.21
  5. Step 5: Solve for x
    x = 4,664,440.21/2,226
  6. Step 6: Final answer
    x = 2,095.44

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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.